91586560 has 128 divisors (see below), whose sum is σ = 242217360. Its totient is φ = 33030144.

The previous prime is 91586557. The next prime is 91586563. The reversal of 91586560 is 6568519.

It is an interprime number because it is at equal distance from previous prime (91586557) and next prime (91586563).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91586563) 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, 2129899 + ... + 2129941.

Almost surely, 2^91586560 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 91586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121108680).

91586560 is an abundant number, since it is smaller than the sum of its proper divisors (150630800).

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

91586560 is an equidigital number, since it uses as much as digits as its factorization.

91586560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The square root of 91586560 is about 9570.0867289696. The cubic root of 91586560 is about 450.7584903676.

The spelling of 91586560 in words is "ninety-one million, five hundred eighty-six thousand, five hundred sixty".