56544 has 48 divisors (see below), whose sum is σ = 161280. Its totient is φ = 17280.

The previous prime is 56543. The next prime is 56569. The reversal of 56544 is 44565.

56544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 56544.

It is not an unprimeable number, because it can be changed into a prime (56543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1809 + ... + 1839.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

2⁵⁶⁵⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640).

56544 is an abundant number, since it is smaller than the sum of its proper divisors (104736).

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

56544 is a wasteful number, since it uses less digits than its factorization.

56544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 55 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 56544 is about 237.7898231632. The cubic root of 56544 is about 38.3821097219.

The spelling of 56544 in words is "fifty-six thousand, five hundred forty-four".