56604800 has 216 divisors, whose sum is σ = 171672885. Its totient is φ = 18385920.

The previous prime is 56604797. The next prime is 56604803. The reversal of 56604800 is 840665.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

56604800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56604797) and next prime (56604803).

It can be written as a sum of positive squares in 2 ways, for example, as 55472704 + 1132096 = 7448^2 + 1064^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5320.

It is not an unprimeable number, because it can be changed into a prime (56604803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2979191 + ... + 2979209.

Almost surely, 2^56604800 is an apocalyptic number.

56604800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56604800

56604800 is an abundant number, since it is smaller than the sum of its proper divisors (115068085).

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

56604800 is a wasteful number, since it uses less digits than its factorization.

56604800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 56604800 is about 7523.6161518249. The cubic root of 56604800 is about 383.9586182258.

The spelling of 56604800 in words is "fifty-six million, six hundred four thousand, eight hundred".