91288560 has 160 divisors (see below), whose sum is σ = 312122880. Its totient is φ = 21888000.

The previous prime is 91288537. The next prime is 91288579. The reversal of 91288560 is 6588219.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 398526 + ... + 398754.

It is an arithmetic number, because the mean of its divisors is an integer number (1950768).

Almost surely, 2^91288560 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 91288560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156061440).

91288560 is an abundant number, since it is smaller than the sum of its proper divisors (220834320).

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

91288560 is a wasteful number, since it uses less digits than its factorization.

91288560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 91288560 is about 9554.5046967386. The cubic root of 91288560 is about 450.2690736456.

The spelling of 91288560 in words is "ninety-one million, two hundred eighty-eight thousand, five hundred sixty".