56768256 has 144 divisors (see below), whose sum is σ = 172677120. Its totient is φ = 18385920.

The previous prime is 56768251. The next prime is 56768269. The reversal of 56768256 is 65286765.

56768256 is a `hidden beast` number, since 567 + 6 + 82 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56768251) 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, 297121 + ... + 297311.

Almost surely, 2^56768256 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 56768256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86338560).

56768256 is an abundant number, since it is smaller than the sum of its proper divisors (115908864).

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

56768256 is a wasteful number, since it uses less digits than its factorization.

56768256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 239 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 56768256 is about 7534.4711825051. The cubic root of 56768256 is about 384.3278450184.

The spelling of 56768256 in words is "fifty-six million, seven hundred sixty-eight thousand, two hundred fifty-six".