580509696 has 224 divisors, whose sum is σ = 1761500160. Its totient is φ = 168689664.

The previous prime is 580509691. The next prime is 580509697. The reversal of 580509696 is 696905085.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580509691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7348185 + ... + 7348263.

It is an arithmetic number, because the mean of its divisors is an integer number (7863840).

Almost surely, 2^580509696 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 580509696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880750080).

580509696 is an abundant number, since it is smaller than the sum of its proper divisors (1180990464).

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

580509696 is a wasteful number, since it uses less digits than its factorization.

580509696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The square root of 580509696 is about 24093.7688210043. The cubic root of 580509696 is about 834.1993094263.

The spelling of 580509696 in words is "five hundred eighty million, five hundred nine thousand, six hundred ninety-six".