91264032 has 144 divisors (see below), whose sum is σ = 272432160. Its totient is φ = 28953600.

The previous prime is 91264013. The next prime is 91264067. The reversal of 91264032 is 23046219.

91264032 is a `hidden beast` number, since 9 + 12 + 640 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 91263987 and 91264005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696607 + ... + 696737.

It is an arithmetic number, because the mean of its divisors is an integer number (1891890).

Almost surely, 2^91264032 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 91264032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136216080).

91264032 is an abundant number, since it is smaller than the sum of its proper divisors (181168128).

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

91264032 is a wasteful number, since it uses less digits than its factorization.

91264032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 91264032 is about 9553.2210274860. The cubic root of 91264032 is about 450.2287429655.

The spelling of 91264032 in words is "ninety-one million, two hundred sixty-four thousand, thirty-two".