56955312 has 140 divisors (see below), whose sum is σ = 174836280. Its totient is φ = 17915904.

The previous prime is 56955307. The next prime is 56955319. The reversal of 56955312 is 21355965.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (56955319) 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 27 ways as a sum of consecutive naturals, for example, 221488 + ... + 221744.

Almost surely, 2^56955312 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 56955312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87418140).

56955312 is an abundant number, since it is smaller than the sum of its proper divisors (117880968).

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

56955312 is a wasteful number, since it uses less digits than its factorization.

56955312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 281 counting only the distinct ones).

The product of its digits is 40500, while the sum is 36.

The square root of 56955312 is about 7546.8743198757. The cubic root of 56955312 is about 384.7495126699.

The spelling of 56955312 in words is "fifty-six million, nine hundred fifty-five thousand, three hundred twelve".