56579712 has 192 divisors, whose sum is σ = 182327040. Its totient is φ = 15482880.

The previous prime is 56579711. The next prime is 56579729. The reversal of 56579712 is 21797565.

56579712 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 (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (132300) is a multiple of the sum of its prime divisors (140).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56579711) 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 23 ways as a sum of consecutive naturals, for example, 583248 + ... + 583344.

It is an arithmetic number, because the mean of its divisors is an integer number (949620).

Almost surely, 2^56579712 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 56579712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91163520).

56579712 is an abundant number, since it is smaller than the sum of its proper divisors (125747328).

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

56579712 is a wasteful number, since it uses less digits than its factorization.

56579712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

The product of its digits is 132300, while the sum is 42.

The square root of 56579712 is about 7521.9486836856. The cubic root of 56579712 is about 383.9018846550.

It can be divided in two parts, 56579 and 712, that added together give a triangular number (57291 = T₃₃₈).

The spelling of 56579712 in words is "fifty-six million, five hundred seventy-nine thousand, seven hundred twelve".