91585656 has 96 divisors (see below), whose sum is σ = 263203200. Its totient is φ = 28719360.

The previous prime is 91585651. The next prime is 91585679. The reversal of 91585656 is 65658519.

It is a happy number.

91585656 is a `hidden beast` number, since 9 + 1 + 585 + 65 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91585651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82030 + ... + 83138.

It is an arithmetic number, because the mean of its divisors is an integer number (2741700).

Almost surely, 2^91585656 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 91585656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131601600).

91585656 is an abundant number, since it is smaller than the sum of its proper divisors (171617544).

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

91585656 is a wasteful number, since it uses less digits than its factorization.

91585656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1182 counting only the distinct ones).

The product of its digits is 324000, while the sum is 45.

The square root of 91585656 is about 9570.0394983511. The cubic root of 91585656 is about 450.7570073006.

The spelling of 91585656 in words is "ninety-one million, five hundred eighty-five thousand, six hundred fifty-six".