580505680 has 20 divisors (see below), whose sum is σ = 1349675892. Its totient is φ = 232202240.

The previous prime is 580505677. The next prime is 580505683. The reversal of 580505680 is 86505085.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (580505677) and next prime (580505683).

It can be written as a sum of positive squares in 2 ways, for example, as 435640384 + 144865296 = 20872^2 + 12036^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580505683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3628081 + ... + 3628240.

Almost surely, 2^580505680 is an apocalyptic number.

It is an amenable number.

580505680 is an abundant number, since it is smaller than the sum of its proper divisors (769170212).

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

580505680 is a wasteful number, since it uses less digits than its factorization.

580505680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7256334 (or 7256328 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 37.

The square root of 580505680 is about 24093.6854798098. The cubic root of 580505680 is about 834.1973857420.

It can be divided in two parts, 580505 and 680, that added together give a palindrome (581185).

The spelling of 580505680 in words is "five hundred eighty million, five hundred five thousand, six hundred eighty".