Yes, EVENER is a Scrabble word!

Letter values in Scrabble US: E 1, V 4, E 1, N 1, E 1, R 1.

Is it a valid word?

EVENER is a valid word in the official Scrabble dictionary (US), the UK Scrabble Dictionary and Words with Friends (ENABLE).

divisible by two
equal in degree or extent or amount; or equally matched or balanced
being level or straight or regular and without variation as e.g. in shape or texture; or being in the same plane or at the same height as something else (i.e. even with)
symmetrically arranged
occurring at fixed intervals
of the score in a contest

Also: fifty-fifty.