199609968 has 80 divisors (see below), whose sum is σ = 537394176. Its totient is φ = 63786240.

The previous prime is 199609933. The next prime is 199609973. The reversal of 199609968 is 869906991.

It is a super-2 number, since 2×199609968² = 79688278649922048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125305 + ... + 126887.

Almost surely, 2^199609968 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 199609968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268697088).

199609968 is an abundant number, since it is smaller than the sum of its proper divisors (337784208).

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

199609968 is a wasteful number, since it uses less digits than its factorization.

199609968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 57.

The square root of 199609968 is about 14128.3391805265. The cubic root of 199609968 is about 584.4231467590.

The spelling of 199609968 in words is "one hundred ninety-nine million, six hundred nine thousand, nine hundred sixty-eight".