56735664 has 80 divisors (see below), whose sum is σ = 161989632. Its totient is φ = 17019904.

The previous prime is 56735633. The next prime is 56735669. The reversal of 56735664 is 46653765.

It is not an unprimeable number, because it can be changed into a prime (56735669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17257 + ... + 20279.

Almost surely, 2^56735664 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 56735664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80994816).

56735664 is an abundant number, since it is smaller than the sum of its proper divisors (105253968).

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

56735664 is a wasteful number, since it uses less digits than its factorization.

56735664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 3068 counting only the distinct ones).

The product of its digits is 453600, while the sum is 42.

The square root of 56735664 is about 7532.3080128205. The cubic root of 56735664 is about 384.2542803660.

The spelling of 56735664 in words is "fifty-six million, seven hundred thirty-five thousand, six hundred sixty-four".