182304 has 48 divisors (see below), whose sum is σ = 534240. Its totient is φ = 60480.

The previous prime is 182297. The next prime is 182309. The reversal of 182304 is 403281.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (182309) by changing a digit.

182304 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 759 + ... + 969.

It is an arithmetic number, because the mean of its divisors is an integer number (11130).

2¹⁸²³⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 182304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267120).

182304 is an abundant number, since it is smaller than the sum of its proper divisors (351936).

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

182304 is a wasteful number, since it uses less digits than its factorization.

182304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 182304 is about 426.9707249918. The cubic root of 182304 is about 56.7020463414.

Adding to 182304 its reverse (403281), we get a palindrome (585585).

The spelling of 182304 in words is "one hundred eighty-two thousand, three hundred four".