56073600 has 384 divisors, whose sum is σ = 227664000. Its totient is φ = 13363200.

The previous prime is 56073583. The next prime is 56073607. The reversal of 56073600 is 637065.

56073600 is a `hidden beast` number, since 56 + 0 + 7 + 3 + 600 = 666.

56073600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56073607) 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 47 ways as a sum of consecutive naturals, for example, 950371 + ... + 950429.

It is an arithmetic number, because the mean of its divisors is an integer number (592875).

Almost surely, 2^56073600 is an apocalyptic number.

56073600 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 56073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113832000).

56073600 is an abundant number, since it is smaller than the sum of its proper divisors (171590400).

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

56073600 is a wasteful number, since it uses less digits than its factorization.

56073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 56073600 is about 7488.2307656749. The cubic root of 56073600 is about 382.7537723876.

The spelling of 56073600 in words is "fifty-six million, seventy-three thousand, six hundred".