198912168 has 144 divisors (see below), whose sum is σ = 675036180. Its totient is φ = 52448256.

The previous prime is 198912167. The next prime is 198912193. The reversal of 198912168 is 861219891.

198912168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 147331044 + 51581124 = 12138^2 + 7182^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (198912163) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43696 + ... + 48032.

Almost surely, 2^198912168 is an apocalyptic number.

198912168 is a gapful number since it is divisible by the number (18) 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 198912168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337518090).

198912168 is an abundant number, since it is smaller than the sum of its proper divisors (476124012).

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

198912168 is a wasteful number, since it uses less digits than its factorization.

198912168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4376 (or 4362 counting only the distinct ones).

The product of its digits is 62208, while the sum is 45.

The square root of 198912168 is about 14103.6225133829. The cubic root of 198912168 is about 583.7413394469.

The spelling of 198912168 in words is "one hundred ninety-eight million, nine hundred twelve thousand, one hundred sixty-eight".