56733660 has 72 divisors (see below), whose sum is σ = 174947136. Its totient is φ = 14878080.

The previous prime is 56733659. The next prime is 56733667. The reversal of 56733660 is 6633765.

56733660 is a `hidden beast` number, since 567 + 3 + 36 + 60 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct 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 not an unprimeable number, because it can be changed into a prime (56733667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8397 + ... + 13563.

Almost surely, 2^56733660 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 56733660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87473568).

56733660 is an abundant number, since it is smaller than the sum of its proper divisors (118213476).

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

56733660 is a wasteful number, since it uses less digits than its factorization.

56733660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5243 (or 5238 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 56733660 is about 7532.1749846907. The cubic root of 56733660 is about 384.2497561415.

The spelling of 56733660 in words is "fifty-six million, seven hundred thirty-three thousand, six hundred sixty".