198396 has 48 divisors (see below), whose sum is σ = 564480. Its totient is φ = 59760.

The previous prime is 198391. The next prime is 198397. The reversal of 198396 is 693891.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 198396.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 198396.

It is not an unprimeable number, because it can be changed into a prime (198391) 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, 1105 + ... + 1271.

It is an arithmetic number, because the mean of its divisors is an integer number (11760).

2¹⁹⁸³⁹⁶ 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 198396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282240).

198396 is an abundant number, since it is smaller than the sum of its proper divisors (366084).

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

198396 is a wasteful number, since it uses less digits than its factorization.

198396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 198396 is about 445.4166588712. The cubic root of 198396 is about 58.3235974681.

The spelling of 198396 in words is "one hundred ninety-eight thousand, three hundred ninety-six".