180580 has 12 divisors (see below), whose sum is σ = 379260. Its totient is φ = 72224.

The previous prime is 180569. The next prime is 180617. The reversal of 180580 is 85081.

It can be written as a sum of positive squares in 2 ways, for example, as 141376 + 39204 = 376^2 + 198^2 .

It is a super-3 number, since 3×180580³ = 17665673553336000, which contains 333 as substring.

It is an unprimeable number.

180580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4495 + ... + 4534.

It is an arithmetic number, because the mean of its divisors is an integer number (31605).

2¹⁸⁰⁵⁸⁰ is an apocalyptic number.

180580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180580 is an abundant number, since it is smaller than the sum of its proper divisors (198680).

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

180580 is a wasteful number, since it uses less digits than its factorization.

180580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9038 (or 9036 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 180580 is about 424.9470555257. The cubic root of 180580 is about 56.5227412566.

It can be divided in two parts, 1805 and 80, that multiplied together give a square (144400 = 380²).

The spelling of 180580 in words is "one hundred eighty thousand, five hundred eighty".