900580 has 24 divisors (see below), whose sum is σ = 1943928. Its totient is φ = 350208.

The previous prime is 900577. The next prime is 900583. The reversal of 900580 is 85009.

It is an interprime number because it is at equal distance from previous prime (900577) and next prime (900583).

It can be written as a sum of positive squares in 4 ways, for example, as 181476 + 719104 = 426^2 + 848^2 .

It is a super-2 number, since 2×900580² = 1622088672800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (900583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132 + ... + 1348.

It is an arithmetic number, because the mean of its divisors is an integer number (80997).

2⁹⁰⁰⁵⁸⁰ 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 900580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971964).

900580 is an abundant number, since it is smaller than the sum of its proper divisors (1043348).

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

900580 is a wasteful number, since it uses less digits than its factorization.

900580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 900580 is about 948.9889356573. The cubic root of 900580 is about 96.5696741492.

Adding to 900580 its reverse (85009), we get a palindrome (985589).

The spelling of 900580 in words is "nine hundred thousand, five hundred eighty".