198320 has 40 divisors (see below), whose sum is σ = 480624. Its totient is φ = 76032.

The previous prime is 198313. The next prime is 198323. The reversal of 198320 is 23891.

198320 = T₁₀ + T₁₁ + ... + T₁₀₅.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (198323) by changing a digit.

198320 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 2927 + ... + 2993.

2¹⁹⁸³²⁰ is an apocalyptic number.

198320 is a gapful number since it is divisible by the number (10) 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 198320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240312).

198320 is an abundant number, since it is smaller than the sum of its proper divisors (282304).

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

198320 is a wasteful number, since it uses less digits than its factorization.

198320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 198320 is about 445.3313373209. The cubic root of 198320 is about 58.3161491333.

The spelling of 198320 in words is "one hundred ninety-eight thousand, three hundred twenty".