564880 has 40 divisors (see below), whose sum is σ = 1374912. Its totient is φ = 215424.

The previous prime is 564871. The next prime is 564881. The reversal of 564880 is 88465.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (564881) 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, 1687 + ... + 1993.

2⁵⁶⁴⁸⁸⁰ 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 564880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687456).

564880 is an abundant number, since it is smaller than the sum of its proper divisors (810032).

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

564880 is a wasteful number, since it uses less digits than its factorization.

564880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 564880 is about 751.5849918672. The cubic root of 564880 is about 82.6644409159.

It can be divided in two parts, 564 and 880, that added together give a square (1444 = 38²).

The spelling of 564880 in words is "five hundred sixty-four thousand, eight hundred eighty".