198168960 has 192 divisors, whose sum is σ = 695121840. Its totient is φ = 47984640.

The previous prime is 198168907. The next prime is 198168973. The reversal of 198168960 is 69861891.

198168960 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 (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231894 + ... + 232746.

Almost surely, 2^198168960 is an apocalyptic number.

198168960 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 198168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347560920).

198168960 is an abundant number, since it is smaller than the sum of its proper divisors (496952880).

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

198168960 is a wasteful number, since it uses less digits than its factorization.

198168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 198168960 is about 14077.2497313928. The cubic root of 198168960 is about 583.0134089713.

The spelling of 198168960 in words is "one hundred ninety-eight million, one hundred sixty-eight thousand, nine hundred sixty".