91492632 has 128 divisors (see below), whose sum is σ = 316915200. Its totient is φ = 23760000.

The previous prime is 91492603. The next prime is 91492633. The reversal of 91492632 is 23629419.

91492632 is a `hidden beast` number, since 9 + 14 + 9 + 2 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91492633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13882 + ... + 19382.

It is an arithmetic number, because the mean of its divisors is an integer number (2475900).

Almost surely, 2^91492632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91492632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158457600).

91492632 is an abundant number, since it is smaller than the sum of its proper divisors (225422568).

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

91492632 is a wasteful number, since it uses less digits than its factorization.

91492632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5534 (or 5524 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 91492632 is about 9565.1780955715. The cubic root of 91492632 is about 450.6043435674.

It can be divided in two parts, 9149 and 2632, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 91492632 in words is "ninety-one million, four hundred ninety-two thousand, six hundred thirty-two".