56415312 has 80 divisors (see below), whose sum is σ = 165753280. Its totient is φ = 18361728.

The previous prime is 56415311. The next prime is 56415323. The reversal of 56415312 is 21351465.

56415312 is a `hidden beast` number, since 5 + 641 + 5 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56415311) 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, 17058 + ... + 20094.

It is an arithmetic number, because the mean of its divisors is an integer number (2071916).

Almost surely, 2^56415312 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 56415312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82876640).

56415312 is an abundant number, since it is smaller than the sum of its proper divisors (109337968).

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

56415312 is a wasteful number, since it uses less digits than its factorization.

56415312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3085 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 56415312 is about 7511.0127146744. The cubic root of 56415312 is about 383.5296976719.

Adding to 56415312 its reverse (21351465), we get a palindrome (77766777).

It can be divided in two parts, 564 and 15312, that added together give a square (15876 = 126²).

The spelling of 56415312 in words is "fifty-six million, four hundred fifteen thousand, three hundred twelve".