580836960 has 384 divisors, whose sum is σ = 2351462400. Its totient is φ = 132341760.

The previous prime is 580836959. The next prime is 580837031. The reversal of 580836960 is 69638085.

580836960 is a `hidden beast` number, since 580 + 8 + 3 + 6 + 9 + 60 = 666.

580836960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 807481 + ... + 808199.

It is an arithmetic number, because the mean of its divisors is an integer number (6123600).

Almost surely, 2^580836960 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 580836960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175731200).

580836960 is an abundant number, since it is smaller than the sum of its proper divisors (1770625440).

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

580836960 is a wasteful number, since it uses less digits than its factorization.

580836960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 580836960 is about 24100.5593296089. The cubic root of 580836960 is about 834.3560407256.

The spelling of 580836960 in words is "five hundred eighty million, eight hundred thirty-six thousand, nine hundred sixty".