56694560 has 96 divisors (see below), whose sum is σ = 146249712. Its totient is φ = 20643840.

The previous prime is 56694553. The next prime is 56694569. The reversal of 56694560 is 6549665.

56694560 = 716² + 717² + ... + 812².

It can be written as a sum of positive squares in 8 ways, for example, as 17205904 + 39488656 = 4148^2 + 6284^2 .

It is not an unprimeable number, because it can be changed into a prime (56694569) 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, 201620 + ... + 201900.

Almost surely, 2^56694560 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 56694560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73124856).

56694560 is an abundant number, since it is smaller than the sum of its proper divisors (89555152).

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

56694560 is a wasteful number, since it uses less digits than its factorization.

56694560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The square root of 56694560 is about 7529.5790054956. The cubic root of 56694560 is about 384.1614627706.

The spelling of 56694560 in words is "fifty-six million, six hundred ninety-four thousand, five hundred sixty".