Batman could, indeed, kick some serious ass. He was an athlete with very few peers. But he was a thinking hero, and referred to as a detective for a reason. Riddler's riddles, The Jokers plans, Rā's al Ghūl's most intricate plots; Batman was a thinking hero first, ass kicker second...
It has been said the the brain is the most dangerous weapon anyone can possibly possess, it should be exercised as much, if not more than the body.
Not sure if these sites were posted by someone else or not, but brain training is a gooood thing...
http://www.lumosity.com/
http://www.brainbashers.com/