580085600 has 72 divisors (see below), whose sum is σ = 1439470368. Its totient is φ = 228211200.

The previous prime is 580085587. The next prime is 580085617. The reversal of 580085600 is 6580085.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 42857 + ... + 54743.

It is an arithmetic number, because the mean of its divisors is an integer number (19992644).

Almost surely, 2^580085600 is an apocalyptic number.

580085600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580085600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719735184).

580085600 is an abundant number, since it is smaller than the sum of its proper divisors (859384768).

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

580085600 is a wasteful number, since it uses less digits than its factorization.

580085600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11968 (or 11955 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 580085600 is about 24084.9662652867. The cubic root of 580085600 is about 833.9961162783.

The spelling of 580085600 in words is "five hundred eighty million, eighty-five thousand, six hundred".