56364660 has 120 divisors (see below), whose sum is σ = 192953376. Its totient is φ = 13659840.

The previous prime is 56364629. The next prime is 56364689. The reversal of 56364660 is 6646365.

56364660 is a `hidden beast` number, since 5 + 6 + 3 + 646 + 6 + 0 = 666.

56364660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 16239 + ... + 19401.

Almost surely, 2^56364660 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 56364660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96476688).

56364660 is an abundant number, since it is smaller than the sum of its proper divisors (136588716).

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

56364660 is a wasteful number, since it uses less digits than its factorization.

56364660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 56364660 is about 7507.6401085827. The cubic root of 56364660 is about 383.4148803617.

It can be divided in two parts, 5636 and 4660, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 56364660 in words is "fifty-six million, three hundred sixty-four thousand, six hundred sixty".