580736832 has 224 divisors, whose sum is σ = 1751258880. Its totient is φ = 168591360.

The previous prime is 580736809. The next prime is 580736839. The reversal of 580736832 is 238637085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580736839) 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, 5139208 + ... + 5139320.

It is an arithmetic number, because the mean of its divisors is an integer number (7818120).

Almost surely, 2^580736832 is an apocalyptic number.

580736832 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580736832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875629440).

580736832 is an abundant number, since it is smaller than the sum of its proper divisors (1170522048).

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

580736832 is a wasteful number, since it uses less digits than its factorization.

580736832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 580736832 is about 24098.4819438902. The cubic root of 580736832 is about 834.3080942803.

The spelling of 580736832 in words is "five hundred eighty million, seven hundred thirty-six thousand, eight hundred thirty-two".