A number when divided by 61 gives 27 as quotient and 32 as remainder.

We know, Dividend = Divisor $\times$ Quotient + Remainder

Given: Divisor $=61$, Quotient $=27$, Remainder $=32$

Let the Dividend be $x$.

$\therefore x=61 \times 27+32$

= 1679
Hence, the required number is 1679.