198120 has 64 divisors (see below), whose sum is σ = 645120. Its totient is φ = 48384.

The previous prime is 198109. The next prime is 198127. The reversal of 198120 is 21891.

It is not an unprimeable number, because it can be changed into a prime (198127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1497 + ... + 1623.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2¹⁹⁸¹²⁰ is an apocalyptic number.

198120 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 198120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322560).

198120 is an abundant number, since it is smaller than the sum of its proper divisors (447000).

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

198120 is a wasteful number, since it uses less digits than its factorization.

198120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 198120 is about 445.1067287741. The cubic root of 198120 is about 58.2965391550.

The spelling of 198120 in words is "one hundred ninety-eight thousand, one hundred twenty".