198319968 has 288 divisors, whose sum is σ = 729308160. Its totient is φ = 51321600.

The previous prime is 198319949. The next prime is 198319973. The reversal of 198319968 is 869913891.

198319968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 731673 + ... + 731943.

It is an arithmetic number, because the mean of its divisors is an integer number (2532320).

Almost surely, 2^198319968 is an apocalyptic number.

198319968 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 198319968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364654080).

198319968 is an abundant number, since it is smaller than the sum of its proper divisors (530988192).

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

198319968 is a wasteful number, since it uses less digits than its factorization.

198319968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 294 counting only the distinct ones).

The product of its digits is 839808, while the sum is 54.

The square root of 198319968 is about 14082.6122576744. The cubic root of 198319968 is about 583.1614599674.

The spelling of 198319968 in words is "one hundred ninety-eight million, three hundred nineteen thousand, nine hundred sixty-eight".