56144256 has 64 divisors (see below), whose sum is σ = 170446080. Its totient is φ = 16040448.

The previous prime is 56144239. The next prime is 56144269. The reversal of 56144256 is 65244165.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7756 + ... + 13131.

It is an arithmetic number, because the mean of its divisors is an integer number (2663220).

Almost surely, 2^56144256 is an apocalyptic number.

56144256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

56144256 is an abundant number, since it is smaller than the sum of its proper divisors (114301824).

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

56144256 is a wasteful number, since it uses less digits than its factorization.

56144256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20911 (or 20899 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 56144256 is about 7492.9470837582. The cubic root of 56144256 is about 382.9144689219.

Subtracting 56144256 from its reverse (65244165), we obtain a palindrome (9099909).

It can be divided in two parts, 5614 and 4256, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 56144256 in words is "fifty-six million, one hundred forty-four thousand, two hundred fifty-six".