199920168 has 48 divisors (see below), whose sum is σ = 618802080. Its totient is φ = 57119904.

The previous prime is 199920151. The next prime is 199920173. The reversal of 199920168 is 861029991.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197830 + ... + 198837.

It is an arithmetic number, because the mean of its divisors is an integer number (12891710).

Almost surely, 2^199920168 is an apocalyptic number.

199920168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

199920168 is an abundant number, since it is smaller than the sum of its proper divisors (418881912).

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

199920168 is a wasteful number, since it uses less digits than its factorization.

199920168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396686 (or 396679 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 199920168 is about 14139.3128545909. The cubic root of 199920168 is about 584.7257272260.

The spelling of 199920168 in words is "one hundred ninety-nine million, nine hundred twenty thousand, one hundred sixty-eight".