Yes, they do. It would be shown on your Savings check book (lower left corner). Please do note, Routing numbers are different for Savings and Checking account.
Do savings accounts come with routing numbers?
For how many years do banks keep records of deposits and withdrawals in a checking account?1 ansAre there banks or accounts where account balances can be viewed publicly?1 ansIf money moves electronically between bank accounts, how is physical cash “settled” or accounted for?1 ansFor how long must U.S. banks retain a customer’s account records in case they are needed for legal matters?1 ans