199969968 has 80 divisors (see below), whose sum is σ = 569177856. Its totient is φ = 59992320.

The previous prime is 199969967. The next prime is 199970011. The reversal of 199969968 is 869969991.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 199969899 and 199969908.

It is not an unprimeable number, because it can be changed into a prime (199969961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52546 + ... + 56222.

Almost surely, 2^199969968 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 199969968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284588928).

199969968 is an abundant number, since it is smaller than the sum of its proper divisors (369207888).

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

199969968 is a wasteful number, since it uses less digits than its factorization.

199969968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802 (or 3796 counting only the distinct ones).

The product of its digits is 17006112, while the sum is 66.

The square root of 199969968 is about 14141.0737923257. The cubic root of 199969968 is about 584.7742748104.

The spelling of 199969968 in words is "one hundred ninety-nine million, nine hundred sixty-nine thousand, nine hundred sixty-eight".