198168 has 32 divisors (see below), whose sum is σ = 518400. Its totient is φ = 63008.

The previous prime is 198139. The next prime is 198173. The reversal of 198168 is 861891.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373 + ... + 731.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2¹⁹⁸¹⁶⁸ 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 198168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259200).

198168 is an abundant number, since it is smaller than the sum of its proper divisors (320232).

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

198168 is a wasteful number, since it uses less digits than its factorization.

198168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 387 counting only the distinct ones).

The product of its digits is 3456, while the sum is 33.

The square root of 198168 is about 445.1606451608. The cubic root of 198168 is about 58.3012467529.

Subtracting from 198168 its sum of digits (33), we obtain a triangular number (198135 = T₆₂₉).

The spelling of 198168 in words is "one hundred ninety-eight thousand, one hundred sixty-eight".