564160 has 56 divisors (see below), whose sum is σ = 1408176. Its totient is φ = 215040.

The previous prime is 564149. The next prime is 564163. The reversal of 564160 is 61465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564163) by changing a digit.

564160 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 7 ways as a sum of consecutive naturals, for example, 13099 + ... + 13141.

It is an arithmetic number, because the mean of its divisors is an integer number (25146).

2⁵⁶⁴¹⁶⁰ 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 564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704088).

564160 is an abundant number, since it is smaller than the sum of its proper divisors (844016).

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

564160 is a wasteful number, since it uses less digits than its factorization.

564160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 564160 is about 751.1058513951. The cubic root of 564160 is about 82.6293044250.

The spelling of 564160 in words is "five hundred sixty-four thousand, one hundred sixty".