198093168 has 160 divisors (see below), whose sum is σ = 699955200. Its totient is φ = 52233984.

The previous prime is 198093127. The next prime is 198093173. The reversal of 198093168 is 861390891.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36793 + ... + 41831.

It is an arithmetic number, because the mean of its divisors is an integer number (4374720).

Almost surely, 2^198093168 is an apocalyptic number.

198093168 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 198093168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349977600).

198093168 is an abundant number, since it is smaller than the sum of its proper divisors (501862032).

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

198093168 is a wasteful number, since it uses less digits than its factorization.

198093168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5076 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 198093168 is about 14074.5574708408. The cubic root of 198093168 is about 582.9390727637.

The spelling of 198093168 in words is "one hundred ninety-eight million, ninety-three thousand, one hundred sixty-eight".