199975968 has 36 divisors (see below), whose sum is σ = 568682478. Its totient is φ = 66658560.

The previous prime is 199975949. The next prime is 199975991. The reversal of 199975968 is 869579991.

It can be written as a sum of positive squares in only one way, i.e., 184199184 + 15776784 = 13572^2 + 3972^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 346893 + ... + 347468.

Almost surely, 2^199975968 is an apocalyptic number.

199975968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

199975968 is an abundant number, since it is smaller than the sum of its proper divisors (368706510).

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

199975968 is a wasteful number, since it uses less digits than its factorization.

199975968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694377 (or 694366 counting only the distinct ones).

The product of its digits is 11022480, while the sum is 63.

The square root of 199975968 is about 14141.2859386974. The cubic root of 199975968 is about 584.7801233729.

The spelling of 199975968 in words is "one hundred ninety-nine million, nine hundred seventy-five thousand, nine hundred sixty-eight".