91560672 has 96 divisors (see below), whose sum is σ = 305222400. Its totient is φ = 26158464.

The previous prime is 91560643. The next prime is 91560709. The reversal of 91560672 is 27606519.

91560672 is a `hidden beast` number, since 91 + 560 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 15 ways as a sum of consecutive naturals, for example, 1522 + ... + 13617.

It is an arithmetic number, because the mean of its divisors is an integer number (3179400).

Almost surely, 2^91560672 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 91560672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152611200).

91560672 is an abundant number, since it is smaller than the sum of its proper divisors (213661728).

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

91560672 is a wasteful number, since it uses less digits than its factorization.

91560672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15165 (or 15151 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 91560672 is about 9568.7340855518. The cubic root of 91560672 is about 450.7160156659.

The spelling of 91560672 in words is "ninety-one million, five hundred sixty thousand, six hundred seventy-two".