559008 has 48 divisors (see below), whose sum is σ = 1632960. Its totient is φ = 186048.

The previous prime is 559001. The next prime is 559049. The reversal of 559008 is 800955.

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

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 (559001) by changing a digit.

559008 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, 541 + ... + 1187.

It is an arithmetic number, because the mean of its divisors is an integer number (34020).

2⁵⁵⁹⁰⁰⁸ is an apocalyptic number.

559008 is the 432-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 559008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816480).

559008 is an abundant number, since it is smaller than the sum of its proper divisors (1073952).

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

559008 is a wasteful number, since it uses less digits than its factorization.

559008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 559008 is about 747.6683756854. The cubic root of 559008 is about 82.3770068123.

The spelling of 559008 in words is "five hundred fifty-nine thousand, eight".