56144600 has 48 divisors (see below), whose sum is σ = 131074200. Its totient is φ = 22365440.

The previous prime is 56144597. The next prime is 56144611. The reversal of 56144600 is 644165.

It is a happy number.

56144600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56144600² = 6304432218320000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56144600.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 68996 + ... + 69804.

Almost surely, 2^56144600 is an apocalyptic number.

56144600 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 56144600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65537100).

56144600 is an abundant number, since it is smaller than the sum of its proper divisors (74929600).

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

56144600 is a wasteful number, since it uses less digits than its factorization.

56144600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 56144600 is about 7492.9700386429. The cubic root of 56144600 is about 382.9152509687.

Adding to 56144600 its reverse (644165), we get a palindrome (56788765).

The spelling of 56144600 in words is "fifty-six million, one hundred forty-four thousand, six hundred".