182988 has 72 divisors (see below), whose sum is σ = 550368. Its totient is φ = 50688.

The previous prime is 182981. The next prime is 182999. The reversal of 182988 is 889281.

182988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a zygodrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 182988.

It is not an unprimeable number, because it can be changed into a prime (182981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7945 + ... + 7967.

It is an arithmetic number, because the mean of its divisors is an integer number (7644).

2¹⁸²⁹⁸⁸ is an apocalyptic number.

182988 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 182988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275184).

182988 is an abundant number, since it is smaller than the sum of its proper divisors (367380).

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

182988 is a wasteful number, since it uses less digits than its factorization.

182988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 58 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 182988 is about 427.7709667567. The cubic root of 182988 is about 56.7728727171.

The spelling of 182988 in words is "one hundred eighty-two thousand, nine hundred eighty-eight".