On dividing 15968 by a certain number, the quotient is 89 and the rem…

Let's denote the divisor as D.

According to question,

When 15968 is divided by $D$, the quotient is 89, and the remainder is 37.

15968 = 89D + 37

89D = 15968−37

89D=15931

D = 179 ​

So, divisor is = 179

Now, find the sum of the digits of the divisor:

1 + 7 + 9

= 17