199983168 has 336 divisors, whose sum is σ = 745565184. Its totient is φ = 51632640.

The previous prime is 199983149. The next prime is 199983191. The reversal of 199983168 is 861389991.

It is a tau number, because it is divible by the number of its divisors (336).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1197421 + ... + 1197587.

It is an arithmetic number, because the mean of its divisors is an integer number (2218944).

Almost surely, 2^199983168 is an apocalyptic number.

199983168 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 199983168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372782592).

199983168 is an abundant number, since it is smaller than the sum of its proper divisors (545582016).

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

199983168 is a wasteful number, since it uses less digits than its factorization.

199983168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 190 counting only the distinct ones).

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

The square root of 199983168 is about 14141.5405101425. The cubic root of 199983168 is about 584.7871414935.

The spelling of 199983168 in words is "one hundred ninety-nine million, nine hundred eighty-three thousand, one hundred sixty-eight".