56543904 has 72 divisors (see below), whose sum is σ = 170270100. Its totient is φ = 17737728.

The previous prime is 56543899. The next prime is 56543909. The reversal of 56543904 is 40934565.

It is a happy number.

56543904 is a `hidden beast` number, since 565 + 4 + 3 + 90 + 4 = 666.

56543904 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 (56543899) and next prime (56543909).

It can be written as a sum of positive squares in 2 ways, for example, as 45968400 + 10575504 = 6780^2 + 3252^2 .

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

It is a super-2 number, since 2×56543904² = 6394426159122432, which contains 22 as substring.

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 (56543909) 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 11 ways as a sum of consecutive naturals, for example, 879 + ... + 10670.

Almost surely, 2^56543904 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 56543904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85135050).

56543904 is an abundant number, since it is smaller than the sum of its proper divisors (113726196).

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

56543904 is a wasteful number, since it uses less digits than its factorization.

56543904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11582 (or 11571 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 56543904 is about 7519.5680727020. The cubic root of 56543904 is about 383.8208800026.

The spelling of 56543904 in words is "fifty-six million, five hundred forty-three thousand, nine hundred four".