56839200 has 144 divisors (see below), whose sum is σ = 201924576. Its totient is φ = 13772800.

The previous prime is 56839193. The next prime is 56839207. The reversal of 56839200 is 293865.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56839193) and next prime (56839207).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (56839207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25324 + ... + 27476.

It is an arithmetic number, because the mean of its divisors is an integer number (1402254).

Almost surely, 2^56839200 is an apocalyptic number.

56839200 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 56839200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100962288).

56839200 is an abundant number, since it is smaller than the sum of its proper divisors (145085376).

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

56839200 is a wasteful number, since it uses less digits than its factorization.

56839200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 56839200 is about 7539.1776739907. The cubic root of 56839200 is about 384.4878781444.

The spelling of 56839200 in words is "fifty-six million, eight hundred thirty-nine thousand, two hundred".