91560 has 64 divisors (see below), whose sum is σ = 316800. Its totient is φ = 20736.

The previous prime is 91541. The next prime is 91571. The reversal of 91560 is 6519.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 91560.

It is an unprimeable number.

91560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 786 + ... + 894.

It is an arithmetic number, because the mean of its divisors is an integer number (4950).

2⁹¹⁵⁶⁰ 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 91560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158400).

91560 is an abundant number, since it is smaller than the sum of its proper divisors (225240).

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

91560 is a wasteful number, since it uses less digits than its factorization.

91560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 91560 is about 302.5888299326. The cubic root of 91560 is about 45.0714913002.

The spelling of 91560 in words is "ninety-one thousand, five hundred sixty".