182368 has 24 divisors (see below), whose sum is σ = 370440. Its totient is φ = 88320.

The previous prime is 182353. The next prime is 182387. The reversal of 182368 is 863281.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 1 + 8² + 3¹¹ + 2¹⁰ + 6² + 8⁴ .

It is a congruent number.

It is an unprimeable number.

182368 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, 1243 + ... + 1381.

It is an arithmetic number, because the mean of its divisors is an integer number (15435).

2¹⁸²³⁶⁸ 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 182368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185220).

182368 is an abundant number, since it is smaller than the sum of its proper divisors (188072).

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

182368 is a wasteful number, since it uses less digits than its factorization.

182368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 182 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 182368 is about 427.0456650055. The cubic root of 182368 is about 56.7086808757.

It can be divided in two parts, 1823 and 68, that added together give a triangular number (1891 = T₆₁).

The spelling of 182368 in words is "one hundred eighty-two thousand, three hundred sixty-eight".