198882 has 32 divisors (see below), whose sum is σ = 460800. Its totient is φ = 63504.

The previous prime is 198859. The next prime is 198899. The reversal of 198882 is 288891.

It is a plaindrome in base 7.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 1503 + ... + 1629.

It is an arithmetic number, because the mean of its divisors is an integer number (14400).

2¹⁹⁸⁸⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230400).

198882 is an abundant number, since it is smaller than the sum of its proper divisors (261918).

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

198882 is a wasteful number, since it uses less digits than its factorization.

198882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 161 counting only the distinct ones).

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

The square root of 198882 is about 445.9618817791. The cubic root of 198882 is about 58.3711826925.

Subtracting 198882 from its reverse (288891), we obtain a palindrome (90009).

The spelling of 198882 in words is "one hundred ninety-eight thousand, eight hundred eighty-two".