199965168 has 120 divisors (see below), whose sum is σ = 619175648. Its totient is φ = 59844096.

The previous prime is 199965113. The next prime is 199965173. The reversal of 199965168 is 861569991.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67821 + ... + 70707.

Almost surely, 2^199965168 is an apocalyptic number.

199965168 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 199965168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309587824).

199965168 is an abundant number, since it is smaller than the sum of its proper divisors (419210480).

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

199965168 is a wasteful number, since it uses less digits than its factorization.

199965168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2942 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 54.

The square root of 199965168 is about 14140.9040729368. The cubic root of 199965168 is about 584.7695958762.

The spelling of 199965168 in words is "one hundred ninety-nine million, nine hundred sixty-five thousand, one hundred sixty-eight".