198360 has 96 divisors (see below), whose sum is σ = 702000. Its totient is φ = 48384.

The previous prime is 198349. The next prime is 198377. The reversal of 198360 is 63891.

It is a congruent number.

It is an unprimeable number.

198360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6826 + ... + 6854.

2¹⁹⁸³⁶⁰ is an apocalyptic number.

198360 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 198360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351000).

198360 is an abundant number, since it is smaller than the sum of its proper divisors (503640).

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

198360 is a wasteful number, since it uses less digits than its factorization.

198360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 198360 is about 445.3762454375. The cubic root of 198360 is about 58.3200695467.

The spelling of 198360 in words is "one hundred ninety-eight thousand, three hundred sixty".