182080 has 28 divisors (see below), whose sum is σ = 434340. Its totient is φ = 72704.

The previous prime is 182059. The next prime is 182089. The reversal of 182080 is 80281.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 46656 + 135424 = 216^2 + 368^2 .

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182089) by changing a digit.

182080 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, 36 + ... + 604.

2¹⁸²⁰⁸⁰ is an apocalyptic number.

182080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217170).

182080 is an abundant number, since it is smaller than the sum of its proper divisors (252260).

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

182080 is an equidigital number, since it uses as much as digits as its factorization.

182080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 182080 is about 426.7083312990. The cubic root of 182080 is about 56.6788132362.

The spelling of 182080 in words is "one hundred eighty-two thousand, eighty".