56557008 has 80 divisors (see below), whose sum is σ = 164275200. Its totient is φ = 18627840.

The previous prime is 56557003. The next prime is 56557009. The reversal of 56557008 is 80075565.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56557001) 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, 37713 + ... + 39183.

It is an arithmetic number, because the mean of its divisors is an integer number (2053440).

Almost surely, 2^56557008 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 56557008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82137600).

56557008 is an abundant number, since it is smaller than the sum of its proper divisors (107718192).

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

56557008 is a wasteful number, since it uses less digits than its factorization.

56557008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 56557008 is about 7520.4393488679. The cubic root of 56557008 is about 383.8505277629.

The spelling of 56557008 in words is "fifty-six million, five hundred fifty-seven thousand, eight".