580842 has 36 divisors (see below), whose sum is σ = 1337154. Its totient is φ = 182160.

The previous prime is 580837. The next prime is 580843. The reversal of 580842 is 248085.

580842 is a `hidden beast` number, since 580 + 84 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 576081 + 4761 = 759^2 + 69^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 580842.

It is not an unprimeable number, because it can be changed into a prime (580843) by changing a digit.

580842 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 (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9492 + ... + 9552.

2⁵⁸⁰⁸⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668577).

580842 is an abundant number, since it is smaller than the sum of its proper divisors (756312).

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

580842 is a wasteful number, since it uses less digits than its factorization.

580842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 580842 is about 762.1299101859. The cubic root of 580842 is about 83.4358453992.

The spelling of 580842 in words is "five hundred eighty thousand, eight hundred forty-two".