56632256 has 56 divisors (see below), whose sum is σ = 118993920. Its totient is φ = 26687232.

The previous prime is 56632241. The next prime is 56632259. The reversal of 56632256 is 65223665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56632259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116045 + ... + 116531.

Almost surely, 2^56632256 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 56632256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59496960).

56632256 is an abundant number, since it is smaller than the sum of its proper divisors (62361664).

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

56632256 is a wasteful number, since it uses less digits than its factorization.

56632256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 591 counting only the distinct ones).

The product of its digits is 64800, while the sum is 35.

The square root of 56632256 is about 7525.4405851086. The cubic root of 56632256 is about 384.0206875429.

The spelling of 56632256 in words is "fifty-six million, six hundred thirty-two thousand, two hundred fifty-six".