56031760 has 80 divisors (see below), whose sum is σ = 138562560. Its totient is φ = 21012480.

The previous prime is 56031737. The next prime is 56031761. The reversal of 56031760 is 6713065.

56031760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

56031760 is a nontrivial binomial coefficient, being equal to C(193, 4).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56031761) by changing a digit.

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, 290224 + ... + 290416.

It is an arithmetic number, because the mean of its divisors is an integer number (1732032).

Almost surely, 2^56031760 is an apocalyptic number.

56031760 is the 6112-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56031760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69281280).

56031760 is an abundant number, since it is smaller than the sum of its proper divisors (82530800).

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

56031760 is a wasteful number, since it uses less digits than its factorization.

56031760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 56031760 is about 7485.4365270170. The cubic root of 56031760 is about 382.6585499026.

The spelling of 56031760 in words is "fifty-six million, thirty-one thousand, seven hundred sixty".