580477968 has 160 divisors (see below), whose sum is σ = 2004633600. Its totient is φ = 157106304.

The previous prime is 580477957. The next prime is 580477981. The reversal of 580477968 is 869774085.

580477968 is a `hidden beast` number, since 5 + 80 + 477 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52405 + ... + 62507.

It is an arithmetic number, because the mean of its divisors is an integer number (12528960).

Almost surely, 2^580477968 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 580477968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002316800).

580477968 is an abundant number, since it is smaller than the sum of its proper divisors (1424155632).

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

580477968 is a wasteful number, since it uses less digits than its factorization.

580477968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10146 (or 10134 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 580477968 is about 24093.1103845062. The cubic root of 580477968 is about 834.1841113122.

The spelling of 580477968 in words is "five hundred eighty million, four hundred seventy-seven thousand, nine hundred sixty-eight".