56334564 has 144 divisors (see below), whose sum is σ = 173182464. Its totient is φ = 15206400.

The previous prime is 56334541. The next prime is 56334569. The reversal of 56334564 is 46543365.

56334564 is a `hidden beast` number, since 5 + 63 + 34 + 564 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (56334569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159412 + ... + 159764.

It is an arithmetic number, because the mean of its divisors is an integer number (1202656).

Almost surely, 2^56334564 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 56334564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86591232).

56334564 is an abundant number, since it is smaller than the sum of its proper divisors (116847900).

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

56334564 is a wasteful number, since it uses less digits than its factorization.

56334564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 413 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 56334564 is about 7505.6354827556. The cubic root of 56334564 is about 383.3466265501.

The spelling of 56334564 in words is "fifty-six million, three hundred thirty-four thousand, five hundred sixty-four".