564820 has 24 divisors (see below), whose sum is σ = 1225728. Its totient is φ = 218400.

The previous prime is 564797. The next prime is 564827. The reversal of 564820 is 28465.

564820 = 187² + 188² + ... + 201².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564827) by changing a digit.

564820 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, 165 + ... + 1075.

It is an arithmetic number, because the mean of its divisors is an integer number (51072).

2⁵⁶⁴⁸²⁰ 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 564820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612864).

564820 is an abundant number, since it is smaller than the sum of its proper divisors (660908).

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

564820 is a wasteful number, since it uses less digits than its factorization.

564820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 564820 is about 751.5450751618. The cubic root of 564820 is about 82.6615140158.

The spelling of 564820 in words is "five hundred sixty-four thousand, eight hundred twenty".