199263168 has 252 divisors, whose sum is σ = 652607280. Its totient is φ = 57987072.

The previous prime is 199263139. The next prime is 199263193. The reversal of 199263168 is 861362991.

It is a happy number.

199263168 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 631 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 2238868 + ... + 2238956.

Almost surely, 2^199263168 is an apocalyptic number.

199263168 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 199263168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326303640).

199263168 is an abundant number, since it is smaller than the sum of its proper divisors (453344112).

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

199263168 is a wasteful number, since it uses less digits than its factorization.

199263168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 130 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 199263168 is about 14116.0606402778. The cubic root of 199263168 is about 584.0844939360.

The spelling of 199263168 in words is "one hundred ninety-nine million, two hundred sixty-three thousand, one hundred sixty-eight".