56633364 has 48 divisors (see below), whose sum is σ = 148019200. Its totient is φ = 18724608.

The previous prime is 56633359. The next prime is 56633371. The reversal of 56633364 is 46333665.

It is a happy number.

56633364 is a `hidden beast` number, since 566 + 3 + 33 + 64 = 666.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11652 + ... + 15780.

Almost surely, 2^56633364 is an apocalyptic number.

56633364 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56633364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74009600).

56633364 is an abundant number, since it is smaller than the sum of its proper divisors (91385836).

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

56633364 is a wasteful number, since it uses less digits than its factorization.

56633364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4269 (or 4261 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The square root of 56633364 is about 7525.5142017008. The cubic root of 56633364 is about 384.0231919587.

It can be divided in two parts, 566 and 33364, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 56633364 in words is "fifty-six million, six hundred thirty-three thousand, three hundred sixty-four".