580226560 has 160 divisors (see below), whose sum is σ = 1492761600. Its totient is φ = 215654400.

The previous prime is 580226533. The next prime is 580226573. The reversal of 580226560 is 65622085.

It is a tau number, because it is divible by the number of its divisors (160).

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, 3842485 + ... + 3842635.

It is an arithmetic number, because the mean of its divisors is an integer number (9329760).

Almost surely, 2^580226560 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 580226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746380800).

580226560 is an abundant number, since it is smaller than the sum of its proper divisors (912535040).

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

580226560 is a wasteful number, since it uses less digits than its factorization.

580226560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 580226560 is about 24087.8923943130. The cubic root of 580226560 is about 834.0636641089.

The spelling of 580226560 in words is "five hundred eighty million, two hundred twenty-six thousand, five hundred sixty".