558090 has 80 divisors (see below), whose sum is σ = 1646568. Its totient is φ = 134784.

The previous prime is 558083. The next prime is 558091. The reversal of 558090 is 90855.

558090 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 4 ways, for example, as 408321 + 149769 = 639^2 + 387^2 .

It is a super-2 number, since 2×558090² = 622928896200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (558091) 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 39 ways as a sum of consecutive naturals, for example, 10504 + ... + 10556.

2⁵⁵⁸⁰⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 558090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823284).

558090 is an abundant number, since it is smaller than the sum of its proper divisors (1088478).

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

558090 is a wasteful number, since it uses less digits than its factorization.

558090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 76 counting only the distinct ones).

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

The square root of 558090 is about 747.0542149001. The cubic root of 558090 is about 82.3318890766.

The spelling of 558090 in words is "five hundred fifty-eight thousand, ninety".