91585920 has 64 divisors (see below), whose sum is σ = 291936240. Its totient is φ = 24422400.

The previous prime is 91585913. The next prime is 91585927. The reversal of 91585920 is 2958519.

It is an interprime number because it is at equal distance from previous prime (91585913) and next prime (91585927).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91585927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21931 + ... + 25770.

Almost surely, 2^91585920 is an apocalyptic number.

It is an amenable number.

91585920 is an abundant number, since it is smaller than the sum of its proper divisors (200350320).

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

91585920 is a wasteful number, since it uses less digits than its factorization.

91585920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47723 (or 47711 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The square root of 91585920 is about 9570.0532913877. The cubic root of 91585920 is about 450.7574404097.

The spelling of 91585920 in words is "ninety-one million, five hundred eighty-five thousand, nine hundred twenty".