564192 has 48 divisors (see below), whose sum is σ = 1648080. Its totient is φ = 187776.

The previous prime is 564191. The next prime is 564197. The reversal of 564192 is 291465.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×564192² = 636625225728, which contains 22 as substring.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564191) 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, 538 + ... + 1190.

It is an arithmetic number, because the mean of its divisors is an integer number (34335).

2⁵⁶⁴¹⁹² 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 564192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824040).

564192 is an abundant number, since it is smaller than the sum of its proper divisors (1083888).

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

564192 is a wasteful number, since it uses less digits than its factorization.

564192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 658 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 564192 is about 751.1271530174. The cubic root of 564192 is about 82.6308666815.

The spelling of 564192 in words is "five hundred sixty-four thousand, one hundred ninety-two".