180882 has 24 divisors (see below), whose sum is σ = 422604. Its totient is φ = 55584.

The previous prime is 180871. The next prime is 180883. The reversal of 180882 is 288081.

It can be written as a sum of positive squares in 2 ways, for example, as 145161 + 35721 = 381^2 + 189^2 .

It is a plaindrome in base 11.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180882.

It is not an unprimeable number, because it can be changed into a prime (180883) by changing a digit.

180882 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 11 ways as a sum of consecutive naturals, for example, 153 + ... + 620.

2¹⁸⁰⁸⁸² is an apocalyptic number.

180882 is an abundant number, since it is smaller than the sum of its proper divisors (241722).

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

180882 is a wasteful number, since it uses less digits than its factorization.

180882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 180882 is about 425.3022454679. The cubic root of 180882 is about 56.5542330439.

The spelling of 180882 in words is "one hundred eighty thousand, eight hundred eighty-two".