198832 has 30 divisors (see below), whose sum is σ = 418748. Its totient is φ = 91392.

The previous prime is 198829. The next prime is 198833. The reversal of 198832 is 238891.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 198794 and 198803.

It is not an unprimeable number, because it can be changed into a prime (198833) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4603 + ... + 4645.

2¹⁹⁸⁸³² 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 198832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209374).

198832 is an abundant number, since it is smaller than the sum of its proper divisors (219916).

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

198832 is a wasteful number, since it uses less digits than its factorization.

198832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 62 counting only the distinct ones).

The product of its digits is 3456, while the sum is 31.

The square root of 198832 is about 445.9058196525. The cubic root of 198832 is about 58.3662906732.

The spelling of 198832 in words is "one hundred ninety-eight thousand, eight hundred thirty-two".