56556760 has 64 divisors (see below), whose sum is σ = 139366080. Its totient is φ = 20528640.

The previous prime is 56556743. The next prime is 56556767. The reversal of 56556760 is 6765565.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56556767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30829 + ... + 32611.

It is an arithmetic number, because the mean of its divisors is an integer number (2177595).

Almost surely, 2^56556760 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 56556760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69683040).

56556760 is an abundant number, since it is smaller than the sum of its proper divisors (82809320).

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

56556760 is a wasteful number, since it uses less digits than its factorization.

56556760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 40.

The square root of 56556760 is about 7520.4228604514. The cubic root of 56556760 is about 383.8499667062.

The spelling of 56556760 in words is "fifty-six million, five hundred fifty-six thousand, seven hundred sixty".