182880 has 72 divisors (see below), whose sum is σ = 628992. Its totient is φ = 48384.

The previous prime is 182867. The next prime is 182887. The reversal of 182880 is 88281.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182887) by changing a digit.

182880 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, 1377 + ... + 1503.

It is an arithmetic number, because the mean of its divisors is an integer number (8736).

2¹⁸²⁸⁸⁰ is an apocalyptic number.

182880 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 182880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314496).

182880 is an abundant number, since it is smaller than the sum of its proper divisors (446112).

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

182880 is a wasteful number, since it uses less digits than its factorization.

182880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

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

The square root of 182880 is about 427.6447123489. The cubic root of 182880 is about 56.7617013526.

The spelling of 182880 in words is "one hundred eighty-two thousand, eight hundred eighty".