580766652 has 192 divisors, whose sum is σ = 1654732800. Its totient is φ = 175633920.

The previous prime is 580766651. The next prime is 580766663. The reversal of 580766652 is 256667085.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 580766598 and 580766607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580766651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6525424 + ... + 6525512.

It is an arithmetic number, because the mean of its divisors is an integer number (8618400).

Almost surely, 2^580766652 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 580766652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827366400).

580766652 is an abundant number, since it is smaller than the sum of its proper divisors (1073966148).

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

580766652 is a wasteful number, since it uses less digits than its factorization.

580766652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 580766652 is about 24099.1006471196. The cubic root of 580766652 is about 834.3223742089.

The spelling of 580766652 in words is "five hundred eighty million, seven hundred sixty-six thousand, six hundred fifty-two".