580567680 has 864 divisors, whose sum is σ = 2714149620. Its totient is φ = 113541120.

The previous prime is 580567649. The next prime is 580567747. The reversal of 580567680 is 86765085.

580567680 is a `hidden beast` number, since 5 + 8 + 0 + 567 + 6 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 577152576 + 3415104 = 24024^2 + 1848^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 34151032 + ... + 34151048.

Almost surely, 2^580567680 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 580567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357074810).

580567680 is an abundant number, since it is smaller than the sum of its proper divisors (2133581940).

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

580567680 is a wasteful number, since it uses less digits than its factorization.

580567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 580567680 is about 24094.9720896290. The cubic root of 580567680 is about 834.2270830666.

The spelling of 580567680 in words is "five hundred eighty million, five hundred sixty-seven thousand, six hundred eighty".