91512960 has 256 divisors, whose sum is σ = 364262400. Its totient is φ = 18984960.

The previous prime is 91512959. The next prime is 91512977. The reversal of 91512960 is 6921519.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 147531 + ... + 148149.

It is an arithmetic number, because the mean of its divisors is an integer number (1422900).

Almost surely, 2^91512960 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 91512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182131200).

91512960 is an abundant number, since it is smaller than the sum of its proper divisors (272749440).

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

91512960 is a wasteful number, since it uses less digits than its factorization.

91512960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 91512960 is about 9566.2406409205. The cubic root of 91512960 is about 450.6377131281.

The spelling of 91512960 in words is "ninety-one million, five hundred twelve thousand, nine hundred sixty".