182268 has 36 divisors (see below), whose sum is σ = 473928. Its totient is φ = 59040.

The previous prime is 182261. The next prime is 182279. The reversal of 182268 is 862281.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2155 + ... + 2237.

2¹⁸²²⁶⁸ is an apocalyptic number.

182268 is a gapful number since it is divisible by the number (18) 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 182268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236964).

182268 is an abundant number, since it is smaller than the sum of its proper divisors (291660).

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

182268 is a wasteful number, since it uses less digits than its factorization.

182268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 149 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 182268 is about 426.9285654533. The cubic root of 182268 is about 56.6983137335.

The spelling of 182268 in words is "one hundred eighty-two thousand, two hundred sixty-eight".