564084 has 30 divisors (see below), whose sum is σ = 1475474. Its totient is φ = 187920.

The previous prime is 564061. The next prime is 564089. The reversal of 564084 is 480465.

564084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 291600 + 272484 = 540^2 + 522^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564089) by changing a digit.

564084 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 9 ways as a sum of consecutive naturals, for example, 547 + ... + 1194.

2⁵⁶⁴⁰⁸⁴ is an apocalyptic number.

564084 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

564084 is an abundant number, since it is smaller than the sum of its proper divisors (911390).

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

564084 is a wasteful number, since it uses less digits than its factorization.

564084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 564084 is about 751.0552576209. The cubic root of 564084 is about 82.6255938292.

The spelling of 564084 in words is "five hundred sixty-four thousand, eighty-four".