91125864 has 96 divisors (see below), whose sum is σ = 262152000. Its totient is φ = 29328480.

The previous prime is 91125841. The next prime is 91125877. The reversal of 91125864 is 46852119.

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

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, 207357 + ... + 207795.

It is an arithmetic number, because the mean of its divisors is an integer number (2730750).

Almost surely, 2^91125864 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 91125864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131076000).

91125864 is an abundant number, since it is smaller than the sum of its proper divisors (171026136).

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

91125864 is a wasteful number, since it uses less digits than its factorization.

91125864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 475 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 91125864 is about 9545.9868007451. The cubic root of 91125864 is about 450.0014222177.

The spelling of 91125864 in words is "ninety-one million, one hundred twenty-five thousand, eight hundred sixty-four".