I've always known it as a Rubik's cube?
I've got my time down to about 2 minutes, have memorised about 20 of the algorithms so far. My aim is to get under 1 minute using the algorithms, after that it will be down to improving finger speed.
This site is very helpful for learning:
My wife thinks I'm weird but I don't care, find it very therapeutic and stops me from getting bored, often practise while watching telly!