56544600 has 96 divisors (see below), whose sum is σ = 200344320. Its totient is φ = 12923520.

The previous prime is 56544571. The next prime is 56544629. The reversal of 56544600 is 644565.

It is an interprime number because it is at equal distance from previous prime (56544571) and next prime (56544629).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2532 + ... + 10931.

It is an arithmetic number, because the mean of its divisors is an integer number (2086920).

Almost surely, 2^56544600 is an apocalyptic number.

56544600 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 56544600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100172160).

56544600 is an abundant number, since it is smaller than the sum of its proper divisors (143799720).

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

56544600 is a wasteful number, since it uses less digits than its factorization.

56544600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13489 (or 13480 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 56544600 is about 7519.6143518135. The cubic root of 56544600 is about 383.8224548157.

The spelling of 56544600 in words is "fifty-six million, five hundred forty-four thousand, six hundred".