56065200 has 120 divisors (see below), whose sum is σ = 189124800. Its totient is φ = 14158080.

The previous prime is 56065199. The next prime is 56065211. The reversal of 56065200 is 256065.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 21571 + ... + 24029.

It is an arithmetic number, because the mean of its divisors is an integer number (1576040).

Almost surely, 2^56065200 is an apocalyptic number.

56065200 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 56065200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94562400).

56065200 is an abundant number, since it is smaller than the sum of its proper divisors (133059600).

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

56065200 is a wasteful number, since it uses less digits than its factorization.

56065200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2488 counting only the distinct ones).

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

The square root of 56065200 is about 7487.6698645173. The cubic root of 56065200 is about 382.7346588639.

It can be divided in two parts, 56065 and 200, that added together give a palindrome (56265).

The spelling of 56065200 in words is "fifty-six million, sixty-five thousand, two hundred".