564732 has 72 divisors (see below), whose sum is σ = 1712256. Its totient is φ = 159408.

The previous prime is 564713. The next prime is 564761. The reversal of 564732 is 237465.

It is a happy number.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 564696 and 564705.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 564732.

It is an unprimeable number.

564732 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 23 ways as a sum of consecutive naturals, for example, 6763 + ... + 6845.

2⁵⁶⁴⁷³² 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 564732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856128).

564732 is an abundant number, since it is smaller than the sum of its proper divisors (1147524).

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

564732 is a wasteful number, since it uses less digits than its factorization.

564732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 95 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 564732 is about 751.4865268253. The cubic root of 564732 is about 82.6572208539.

It can be divided in two parts, 564 and 732, that added together give a 4-th power (1296 = 6⁴).

The spelling of 564732 in words is "five hundred sixty-four thousand, seven hundred thirty-two".