56344200 has 96 divisors (see below), whose sum is σ = 190568160. Its totient is φ = 13657600.

The previous prime is 56344159. The next prime is 56344213. The reversal of 56344200 is 244365.

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, 2332 + ... + 10868.

It is an arithmetic number, because the mean of its divisors is an integer number (1985085).

Almost surely, 2^56344200 is an apocalyptic number.

56344200 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 56344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95284080).

56344200 is an abundant number, since it is smaller than the sum of its proper divisors (134223960).

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

56344200 is a wasteful number, since it uses less digits than its factorization.

56344200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8567 (or 8558 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 56344200 is about 7506.2773729726. The cubic root of 56344200 is about 383.3684823892.

Adding to 56344200 its reverse (244365), we get a palindrome (56588565).

The spelling of 56344200 in words is "fifty-six million, three hundred forty-four thousand, two hundred".