580736736 has 96 divisors (see below), whose sum is σ = 1701453600. Its totient is φ = 192706560.

The previous prime is 580736731. The next prime is 580736743. The reversal of 580736736 is 637637085.

580736736 is a `hidden beast` number, since 580 + 7 + 3 + 67 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 580736691 and 580736700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580736731) 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, 206830 + ... + 209618.

It is an arithmetic number, because the mean of its divisors is an integer number (17723475).

Almost surely, 2^580736736 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 580736736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850726800).

580736736 is an abundant number, since it is smaller than the sum of its proper divisors (1120716864).

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

580736736 is a wasteful number, since it uses less digits than its factorization.

580736736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3049 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 580736736 is about 24098.4799520634. The cubic root of 580736736 is about 834.3080483079.

The spelling of 580736736 in words is "five hundred eighty million, seven hundred thirty-six thousand, seven hundred thirty-six".