199968160 has 96 divisors (see below), whose sum is σ = 568391040. Its totient is φ = 64945152.

The previous prime is 199968149. The next prime is 199968191. The reversal of 199968160 is 61869991.

199968160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16582 + ... + 25978.

It is an arithmetic number, because the mean of its divisors is an integer number (5920740).

Almost surely, 2^199968160 is an apocalyptic number.

199968160 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 199968160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284195520).

199968160 is an abundant number, since it is smaller than the sum of its proper divisors (368422880).

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

199968160 is a wasteful number, since it uses less digits than its factorization.

199968160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9438 (or 9430 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 49.

The square root of 199968160 is about 14141.0098649283. The cubic root of 199968160 is about 584.7725124207.

The spelling of 199968160 in words is "one hundred ninety-nine million, nine hundred sixty-eight thousand, one hundred sixty".