56816256 has 128 divisors (see below), whose sum is σ = 180172800. Its totient is φ = 15510528.

The previous prime is 56816231. The next prime is 56816257. The reversal of 56816256 is 65261865.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (56816257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61365 + ... + 62283.

It is an arithmetic number, because the mean of its divisors is an integer number (1407600).

Almost surely, 2^56816256 is an apocalyptic number.

56816256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56816256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90086400).

56816256 is an abundant number, since it is smaller than the sum of its proper divisors (123356544).

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

56816256 is a wasteful number, since it uses less digits than its factorization.

56816256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 954 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 56816256 is about 7537.6558690351. The cubic root of 56816256 is about 384.4361364054.

The spelling of 56816256 in words is "fifty-six million, eight hundred sixteen thousand, two hundred fifty-six".