56814912 has 336 divisors, whose sum is σ = 215432640. Its totient is φ = 14515200.

The previous prime is 56814907. The next prime is 56814917. The reversal of 56814912 is 21941865.

56814912 = 98³ + 99³ + ... + 133³.

56814912 is a `hidden beast` number, since 568 + 1 + 4 + 91 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (56814907) and next prime (56814917).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56814917) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 931362 + ... + 931422.

Almost surely, 2^56814912 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 56814912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107716320).

56814912 is an abundant number, since it is smaller than the sum of its proper divisors (158617728).

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

56814912 is a wasteful number, since it uses less digits than its factorization.

56814912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 84 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 56814912 is about 7537.5667161227. The cubic root of 56814912 is about 384.4331050767.

The spelling of 56814912 in words is "fifty-six million, eight hundred fourteen thousand, nine hundred twelve".