56406816 has 144 divisors (see below), whose sum is σ = 174604248. Its totient is φ = 17203200.

The previous prime is 56406797. The next prime is 56406829. The reversal of 56406816 is 61860465.

56406816 is a `hidden beast` number, since 5 + 640 + 6 + 8 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46294416 + 10112400 = 6804^2 + 3180^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200596 + ... + 200876.

Almost surely, 2^56406816 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 56406816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87302124).

56406816 is an abundant number, since it is smaller than the sum of its proper divisors (118197432).

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

56406816 is a wasteful number, since it uses less digits than its factorization.

56406816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 56406816 is about 7510.4471238402. The cubic root of 56406816 is about 383.5104438454.

The spelling of 56406816 in words is "fifty-six million, four hundred six thousand, eight hundred sixteen".