580615680 has 320 divisors, whose sum is σ = 2050583040. Its totient is φ = 139493376.

The previous prime is 580615667. The next prime is 580615681. The reversal of 580615680 is 86516085.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×580615680² = 674229135723724800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580615681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3356074 + ... + 3356246.

It is an arithmetic number, because the mean of its divisors is an integer number (6408072).

Almost surely, 2^580615680 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 580615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025291520).

580615680 is an abundant number, since it is smaller than the sum of its proper divisors (1469967360).

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

580615680 is a wasteful number, since it uses less digits than its factorization.

580615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 580615680 is about 24095.9681274690. The cubic root of 580615680 is about 834.2500730916.

The spelling of 580615680 in words is "five hundred eighty million, six hundred fifteen thousand, six hundred eighty".