Bruce is a budding inventor and scientist, can speak a number of languages (most of your basic European languages and, because this seems to be comics canon and HOW CAN I RESIST BRINGING IT OVER, Esperanto), is on his way to becoming the World's Greatest Detective, and has a workable understanding of magical theory in both his world and Fandom. Doesn't mean he can do magic, but it does mean that he can put together a few pieces before having to consult an expert.

Bruce has also read a lot on a wide variety of subjects, both fiction and non-fiction, so if you ever need a random fact, he can possibly supply it.