One of your customers is delinquent on his accounts payable balance. You$$ve mutually agreed to a repayment schedule of $$640$ per month. You will charge $1\mathrm{.}6\%$ per month interest on the overdue balance.

If the current balance is $$17,400,$ how long will it take for the account to be paid off? $($Do not round intermediate calculations. Ensure to round up the final answer to the nearest whole number.$)$

Months for account to be paid off

months