56348136 has 80 divisors (see below), whose sum is σ = 169992900. Its totient is φ = 17335296.

The previous prime is 56348069. The next prime is 56348141. The reversal of 56348136 is 63184365.

56348136 is a `hidden beast` number, since 5 + 634 + 8 + 13 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56340036 + 8100 = 7506^2 + 90^2 .

It is a super-2 number, since 2×56348136² = 6350224861348992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56348136.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5080 + ... + 11768.

Almost surely, 2^56348136 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 56348136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84996450).

56348136 is an abundant number, since it is smaller than the sum of its proper divisors (113644764).

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

56348136 is a wasteful number, since it uses less digits than its factorization.

56348136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6720 (or 6707 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 56348136 is about 7506.5395489533. The cubic root of 56348136 is about 383.3774090887.

The spelling of 56348136 in words is "fifty-six million, three hundred forty-eight thousand, one hundred thirty-six".