91564096 has 56 divisors (see below), whose sum is σ = 197144640. Its totient is φ = 41943552.

The previous prime is 91564069. The next prime is 91564117. The reversal of 91564096 is 69046519.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138615 + ... + 139273.

It is an arithmetic number, because the mean of its divisors is an integer number (3520440).

Almost surely, 2^91564096 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 91564096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98572320).

91564096 is an abundant number, since it is smaller than the sum of its proper divisors (105580544).

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

91564096 is a wasteful number, since it uses less digits than its factorization.

91564096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 91564096 is about 9568.9129999180. The cubic root of 91564096 is about 450.7216339165.

The spelling of 91564096 in words is "ninety-one million, five hundred sixty-four thousand, ninety-six".