56991120 has 80 divisors (see below), whose sum is σ = 178863552. Its totient is φ = 15009280.

The previous prime is 56991097. The next prime is 56991131. The reversal of 56991120 is 2119965.

56991120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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, 18490 + ... + 21350.

Almost surely, 2^56991120 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 56991120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89431776).

56991120 is an abundant number, since it is smaller than the sum of its proper divisors (121872432).

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

56991120 is a wasteful number, since it uses less digits than its factorization.

56991120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 2954 counting only the distinct ones).

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

The square root of 56991120 is about 7549.2463199978. The cubic root of 56991120 is about 384.8301268909.

The spelling of 56991120 in words is "fifty-six million, nine hundred ninety-one thousand, one hundred twenty".