56611008 has 84 divisors (see below), whose sum is σ = 167350440. Its totient is φ = 18766080.

The previous prime is 56611007. The next prime is 56611039. The reversal of 56611008 is 80011665.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

56611008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (56611007) 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 11 ways as a sum of consecutive naturals, for example, 312678 + ... + 312858.

Almost surely, 2^56611008 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 56611008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83675220).

56611008 is an abundant number, since it is smaller than the sum of its proper divisors (110739432).

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

56611008 is an equidigital number, since it uses as much as digits as its factorization.

56611008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 56611008 is about 7524.0287080792. The cubic root of 56611008 is about 383.9726543027.

Multiplying 56611008 by its sum of digits (27), we get a square (1528497216 = 39096²).

56611008 divided by its sum of digits (27) gives a square (2096704 = 1448²).

The spelling of 56611008 in words is "fifty-six million, six hundred eleven thousand, eight".