198208 has 28 divisors (see below), whose sum is σ = 416560. Its totient is φ = 93312.

The previous prime is 198197. The next prime is 198221. The reversal of 198208 is 802891.

It is a super-2 number, since 2×198208² = 78572822528, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1135 + ... + 1297.

2¹⁹⁸²⁰⁸ 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 198208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208280).

198208 is an abundant number, since it is smaller than the sum of its proper divisors (218352).

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

198208 is a wasteful number, since it uses less digits than its factorization.

198208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 198208 is about 445.2055704952. The cubic root of 198208 is about 58.3051691706.

It can be divided in two parts, 198 and 208, that added together give a triangular number (406 = T₂₈).

The spelling of 198208 in words is "one hundred ninety-eight thousand, two hundred eight".