580617216 has 99 divisors (see below), whose sum is σ = 1683225583. Its totient is φ = 192768000.

The previous prime is 580617211. The next prime is 580617217. The reversal of 580617216 is 612716085.

The square root of 580617216 is 24096.

It is a perfect power (a square), and thus also a powerful number.

580617216 is a `hidden beast` number, since 580 + 6 + 1 + 72 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (580617211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2313091 + ... + 2313341.

Almost surely, 2^580617216 is an apocalyptic number.

580617216 is the 24096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580617216

580617216 is an abundant number, since it is smaller than the sum of its proper divisors (1102608367).

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

580617216 is an equidigital number, since it uses as much as digits as its factorization.

580617216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The cubic root of 580617216 is about 834.2508087515.

Multiplying 580617216 by its sum of digits (36), we get a square (20902219776 = 144576²).

580617216 divided by its sum of digits (36) gives a square (16128256 = 4016²).

It can be divided in two parts, 580 and 617216, that added together give a square (617796 = 786²).

The spelling of 580617216 in words is "five hundred eighty million, six hundred seventeen thousand, two hundred sixteen".