580032006 has 16 divisors (see below), whose sum is σ = 1160358384. Its totient is φ = 193294944.

The previous prime is 580031953. The next prime is 580032007. The reversal of 580032006 is 600230085.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580032007) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19800 + ... + 39396.

It is an arithmetic number, because the mean of its divisors is an integer number (72522399).

Almost surely, 2^580032006 is an apocalyptic number.

580032006 is an abundant number, since it is smaller than the sum of its proper divisors (580326378).

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

580032006 is a wasteful number, since it uses less digits than its factorization.

580032006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24535.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 580032006 is about 24083.8536368248. The cubic root of 580032006 is about 833.9704312389.

The spelling of 580032006 in words is "five hundred eighty million, thirty-two thousand, six".