564960 has 96 divisors (see below), whose sum is σ = 1959552. Its totient is φ = 135680.

The previous prime is 564959. The next prime is 564973. The reversal of 564960 is 69465.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 5227 + ... + 5333.

It is an arithmetic number, because the mean of its divisors is an integer number (20412).

2⁵⁶⁴⁹⁶⁰ 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 564960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979776).

564960 is an abundant number, since it is smaller than the sum of its proper divisors (1394592).

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

564960 is a wasteful number, since it uses less digits than its factorization.

564960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 564960 is about 751.6382108435. The cubic root of 564960 is about 82.6683431271.

The spelling of 564960 in words is "five hundred sixty-four thousand, nine hundred sixty".