564512 has 48 divisors (see below), whose sum is σ = 1270080. Its totient is φ = 244992.

The previous prime is 564497. The next prime is 564523. The reversal of 564512 is 215465.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

564512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9539 + ... + 9597.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2⁵⁶⁴⁵¹² is an apocalyptic number.

564512 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635040).

564512 is an abundant number, since it is smaller than the sum of its proper divisors (705568).

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

564512 is a wasteful number, since it uses less digits than its factorization.

564512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 97 counting only the distinct ones).

The product of its digits is 1200, while the sum is 23.

The square root of 564512 is about 751.3401360236. The cubic root of 564512 is about 82.6464859977.

Adding to 564512 its reverse (215465), we get a palindrome (779977).

The spelling of 564512 in words is "five hundred sixty-four thousand, five hundred twelve".