56346912 has 72 divisors (see below), whose sum is σ = 161968716. Its totient is φ = 18579456.

The previous prime is 56346911. The next prime is 56346931. The reversal of 56346912 is 21964365.

It is a happy number.

56346912 is a `hidden beast` number, since 5 + 634 + 6 + 9 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54819216 + 1527696 = 7404^2 + 1236^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (56346911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26928 + ... + 28944.

Almost surely, 2^56346912 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 56346912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80984358).

56346912 is an abundant number, since it is smaller than the sum of its proper divisors (105621804).

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

56346912 is a wasteful number, since it uses less digits than its factorization.

56346912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2119 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 56346912 is about 7506.4580195989. The cubic root of 56346912 is about 383.3746331474.

The spelling of 56346912 in words is "fifty-six million, three hundred forty-six thousand, nine hundred twelve".