56336560 has 80 divisors (see below), whose sum is σ = 154900800. Its totient is φ = 18643968.

The previous prime is 56336551. The next prime is 56336569. The reversal of 56336560 is 6563365.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56336551) and next prime (56336569).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (56336569) 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, 14506 + ... + 17974.

It is an arithmetic number, because the mean of its divisors is an integer number (1936260).

Almost surely, 2^56336560 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 56336560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77450400).

56336560 is an abundant number, since it is smaller than the sum of its proper divisors (98564240).

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

56336560 is a wasteful number, since it uses less digits than its factorization.

56336560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3518 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 34.

The square root of 56336560 is about 7505.7684483336. The cubic root of 56336560 is about 383.3511539709.

The spelling of 56336560 in words is "fifty-six million, three hundred thirty-six thousand, five hundred sixty".