580963968 has 256 divisors, whose sum is σ = 1883817600. Its totient is φ = 175177728.

The previous prime is 580963937. The next prime is 580963979. The reversal of 580963968 is 869369085.

It is a super-2 number, since 2×580963968² = 675038264228610048, which contains 22 as substring.

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, 3010080 + ... + 3010272.

Almost surely, 2^580963968 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 580963968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941908800).

580963968 is an abundant number, since it is smaller than the sum of its proper divisors (1302853632).

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

580963968 is a wasteful number, since it uses less digits than its factorization.

580963968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 580963968 is about 24103.1941451750. The cubic root of 580963968 is about 834.4168507729.

The spelling of 580963968 in words is "five hundred eighty million, nine hundred sixty-three thousand, nine hundred sixty-eight".