91520384 has 64 divisors (see below), whose sum is σ = 195093360. Its totient is φ = 42614784.

The previous prime is 91520371. The next prime is 91520431. The reversal of 91520384 is 48302519.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 91520384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297959 + ... + 298265.

Almost surely, 2^91520384 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 91520384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97546680).

91520384 is an abundant number, since it is smaller than the sum of its proper divisors (103572976).

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

91520384 is a wasteful number, since it uses less digits than its factorization.

91520384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 91520384 is about 9566.6286642683. The cubic root of 91520384 is about 450.6498988116.

The spelling of 91520384 in words is "ninety-one million, five hundred twenty thousand, three hundred eighty-four".