558624 has 72 divisors (see below), whose sum is σ = 1672272. Its totient is φ = 161920.

The previous prime is 558611. The next prime is 558629. The reversal of 558624 is 426855.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 558591 and 558600.

It is not an unprimeable number, because it can be changed into a prime (558629) by changing a digit.

558624 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 (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24277 + ... + 24299.

It is an arithmetic number, because the mean of its divisors is an integer number (23226).

2⁵⁵⁸⁶²⁴ 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 558624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836136).

558624 is an abundant number, since it is smaller than the sum of its proper divisors (1113648).

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

558624 is a wasteful number, since it uses less digits than its factorization.

558624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 39 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 558624 is about 747.4115332265. The cubic root of 558624 is about 82.3581400479.

Subtracting from 558624 its reverse (426855), we obtain a square (131769 = 363²).

The spelling of 558624 in words is "five hundred fifty-eight thousand, six hundred twenty-four".