Perfect number modulo 9

Statement

Every even perfect number greater than $6$ is congruent to $1$ modulo $9$. Verify this for $496$ using digit sums.

Solution

Digit sum of $496$: $4+9+6=19$, then $1+9=10$, then $1+0=1$. Hence $496\equiv \boxed{1}\pmod 9.$