56634680 has 32 divisors (see below), whose sum is σ = 131824800. Its totient is φ = 21872256.

The previous prime is 56634647. The next prime is 56634689. The reversal of 56634680 is 8643665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56634689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23252 + ... + 25571.

It is an arithmetic number, because the mean of its divisors is an integer number (4119525).

Almost surely, 2^56634680 is an apocalyptic number.

It is an amenable number.

56634680 is an abundant number, since it is smaller than the sum of its proper divisors (75190120).

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

56634680 is a wasteful number, since it uses less digits than its factorization.

56634680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48863 (or 48859 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 56634680 is about 7525.6016370786. The cubic root of 56634680 is about 384.0261664750.

It can be divided in two parts, 5663 and 4680, that multiplied together give a triangular number (26502840 = T₇₂₈₀).

The spelling of 56634680 in words is "fifty-six million, six hundred thirty-four thousand, six hundred eighty".