Since he is a powerful being who is seemingly supernatural, could he be considered a god of some type?
To borrow from another answer, the TL;DR answer is (emphasis mine)
Sauron wasn't always evil. He began his life as a Maia, essentially an angel, and of the same class as Gandalf and the other wizards. He was eventually corrupted by Morgoth, and became his most powerful lieutenant, but he never really had the same motives as Morgoth. Morgoth was one of the Valar (demigods or Archangels), and was far more powerful than Sauron; in fact, Morgoth was the second most powerful entity in the universe after Eru Ilúvatar (who is basically analogous to the Judeo-Christian god). While Morgoth was still around, Sauron seems to have served him very faithfully, but after Morgoth's defeat and exile into the void, Sauron showed himself to be somewhat different from his former master.
So to sum it up, you have on the power charts
- Eru Ilúvatar (God)
Sauron wants to be God, he just never gets there
In The Silmarillion, we see the origin of many of the most important beings in Tolkein's world of Middle Earth. Amongst the spiritual beings collectively referred to as Ainur, there were two orders of beings relevant to the discussion: the Valar and the Maiar.
The Valar were greatly more powerful than the Maiar, and many (or maybe all) Maiar served one of the Valar. The Valar are equivalent to a pantheon of Gods, albeit subservient to a yet greater and more abstract creator being referred to as Eru Ilúvatar. The Maiar, on the other hand, are more like what most people in a European-based culture would think of as "angels".
So now I can answer your question:
Sauron was a Maiar, as were the wizards Gandalf, Saruman, Radagast and a couple of others. This made him much less powerful than the Valar; in fact, he served the Vala called Morgoth.
That he seemed more powerful than the wizards had to do with the condition that the wizards did not take over and interfere with the lands of Middle Earth.