56507568 has 80 divisors (see below), whose sum is σ = 158594016. Its totient is φ = 17233920.

The previous prime is 56507557. The next prime is 56507569. The reversal of 56507568 is 86570565.

It is not an unprimeable number, because it can be changed into a prime (56507569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85158 + ... + 85818.

Almost surely, 2^56507568 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 56507568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79297008).

56507568 is an abundant number, since it is smaller than the sum of its proper divisors (102086448).

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

56507568 is a wasteful number, since it uses less digits than its factorization.

56507568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The square root of 56507568 is about 7517.1515882015. The cubic root of 56507568 is about 383.7386459450.

It can be divided in two parts, 56507 and 568, that added together give a palindrome (57075).

The spelling of 56507568 in words is "fifty-six million, five hundred seven thousand, five hundred sixty-eight".