559632 has 40 divisors (see below), whose sum is σ = 1473120. Its totient is φ = 183040.

The previous prime is 559631. The next prime is 559633. The reversal of 559632 is 236955.

It is an interprime number because it is at equal distance from previous prime (559631) and next prime (559633).

Its product of digits (8100) is a multiple of the sum of its prime divisors (225).

It is a self number, because there is not a number n which added to its sum of digits gives 559632.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 559632.

It is not an unprimeable number, because it can be changed into a prime (559631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4207 + ... + 4337.

It is an arithmetic number, because the mean of its divisors is an integer number (36828).

2⁵⁵⁹⁶³² 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 559632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736560).

559632 is an abundant number, since it is smaller than the sum of its proper divisors (913488).

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

559632 is a wasteful number, since it uses less digits than its factorization.

559632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its digits is 8100, while the sum is 30.

The square root of 559632 is about 748.0855566043. The cubic root of 559632 is about 82.4076468851.

The spelling of 559632 in words is "five hundred fifty-nine thousand, six hundred thirty-two".