180980 has 12 divisors (see below), whose sum is σ = 380100. Its totient is φ = 72384.

The previous prime is 180959. The next prime is 181001. The reversal of 180980 is 89081.

180980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (180959) and next prime (181001).

It can be written as a sum of positive squares in 2 ways, for example, as 110224 + 70756 = 332^2 + 266^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180980.

It is an unprimeable number.

180980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4505 + ... + 4544.

It is an arithmetic number, because the mean of its divisors is an integer number (31675).

2¹⁸⁰⁹⁸⁰ is an apocalyptic number.

180980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180980 is an abundant number, since it is smaller than the sum of its proper divisors (199120).

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

180980 is a wasteful number, since it uses less digits than its factorization.

180980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9058 (or 9056 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 180980 is about 425.4174420496. The cubic root of 180980 is about 56.5644446998.

It can be divided in two parts, 180 and 980, that multiplied together give a square (176400 = 420²).

The spelling of 180980 in words is "one hundred eighty thousand, nine hundred eighty".