199907968 has 64 divisors (see below), whose sum is σ = 451533600. Its totient is φ = 87395328.

The previous prime is 199907963. The next prime is 199907977. The reversal of 199907968 is 869709991.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (199907963) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 28455 + ... + 34777.

Almost surely, 2^199907968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199907968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225766800).

199907968 is an abundant number, since it is smaller than the sum of its proper divisors (251625632).

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

199907968 is a wasteful number, since it uses less digits than its factorization.

199907968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6369 (or 6357 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 58.

The square root of 199907968 is about 14138.8814267607. The cubic root of 199907968 is about 584.7138328133.

The spelling of 199907968 in words is "one hundred ninety-nine million, nine hundred seven thousand, nine hundred sixty-eight".