91632 has 40 divisors (see below), whose sum is σ = 249984. Its totient is φ = 28864.

The previous prime is 91631. The next prime is 91639. The reversal of 91632 is 23619.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 91599 and 91608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1063 + ... + 1145.

2⁹¹⁶³² is an apocalyptic number.

91632 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992).

91632 is an abundant number, since it is smaller than the sum of its proper divisors (158352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91632 is a wasteful number, since it uses less digits than its factorization.

91632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 111 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

The square root of 91632 is about 302.7077798802. The cubic root of 91632 is about 45.0833024882.

The spelling of 91632 in words is "ninety-one thousand, six hundred thirty-two".