91519920 has 120 divisors (see below), whose sum is σ = 311438400. Its totient is φ = 24081408.

The previous prime is 91519919. The next prime is 91519931. The reversal of 91519920 is 2991519.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56076 + ... + 57684.

It is an arithmetic number, because the mean of its divisors is an integer number (2595320).

Almost surely, 2^91519920 is an apocalyptic number.

91519920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91519920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155719200).

91519920 is an abundant number, since it is smaller than the sum of its proper divisors (219918480).

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

91519920 is a wasteful number, since it uses less digits than its factorization.

91519920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The square root of 91519920 is about 9566.6044132702. The cubic root of 91519920 is about 450.6491372257.

The spelling of 91519920 in words is "ninety-one million, five hundred nineteen thousand, nine hundred twenty".