564144 has 80 divisors (see below), whose sum is σ = 1761792. Its totient is φ = 152064.

The previous prime is 564133. The next prime is 564149. The reversal of 564144 is 441465.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 564144.

It is not an unprimeable number, because it can be changed into a prime (564149) by changing a digit.

564144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7692 + ... + 7764.

2⁵⁶⁴¹⁴⁴ 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 564144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880896).

564144 is an abundant number, since it is smaller than the sum of its proper divisors (1197648).

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

564144 is a wasteful number, since it uses less digits than its factorization.

564144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 108 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 564144 is about 751.0952003575. The cubic root of 564144 is about 82.6285232747.

The spelling of 564144 in words is "five hundred sixty-four thousand, one hundred forty-four".