56135680 has 52 divisors (see below), whose sum is σ = 134758332. Its totient is φ = 22446080.

The previous prime is 56135669. The next prime is 56135687. The reversal of 56135680 is 8653165.

It can be written as a sum of positive squares in 2 ways, for example, as 18386944 + 37748736 = 4288^2 + 6144^2 .

It is not an unprimeable number, because it can be changed into a prime (56135687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19110 + ... + 21850.

Almost surely, 2^56135680 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 56135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67379166).

56135680 is an abundant number, since it is smaller than the sum of its proper divisors (78622652).

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

56135680 is an equidigital number, since it uses as much as digits as its factorization.

56135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 56135680 is about 7492.3747904119. The cubic root of 56135680 is about 382.8949712805.

The spelling of 56135680 in words is "fifty-six million, one hundred thirty-five thousand, six hundred eighty".