56205600 has 144 divisors (see below), whose sum is σ = 199674720. Its totient is φ = 13619200.

The previous prime is 56205559. The next prime is 56205641. The reversal of 56205600 is 650265.

It is an interprime number because it is at equal distance from previous prime (56205559) and next prime (56205641).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 25336 + ... + 27464.

It is an arithmetic number, because the mean of its divisors is an integer number (1386630).

Almost surely, 2^56205600 is an apocalyptic number.

56205600 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 56205600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99837360).

56205600 is an abundant number, since it is smaller than the sum of its proper divisors (143469120).

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

56205600 is a wasteful number, since it uses less digits than its factorization.

56205600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 56205600 is about 7497.0394156627. The cubic root of 56205600 is about 383.0538773972.

Adding to 56205600 its reverse (650265), we get a palindrome (56855865).

The spelling of 56205600 in words is "fifty-six million, two hundred five thousand, six hundred".