580653632 has 112 divisors (see below), whose sum is σ = 1337383152. Its totient is φ = 247726080.

The previous prime is 580653599. The next prime is 580653673. The reversal of 580653632 is 236356085.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 104366656 + 476286976 = 10216^2 + 21824^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 862448 + ... + 863120.

It is an arithmetic number, because the mean of its divisors is an integer number (11940921).

Almost surely, 2^580653632 is an apocalyptic number.

580653632 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 580653632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668691576).

580653632 is an abundant number, since it is smaller than the sum of its proper divisors (756729520).

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

580653632 is a wasteful number, since it uses less digits than its factorization.

580653632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The square root of 580653632 is about 24096.7556322423. The cubic root of 580653632 is about 834.2682496411.

The spelling of 580653632 in words is "five hundred eighty million, six hundred fifty-three thousand, six hundred thirty-two".