199965876 has 48 divisors (see below), whose sum is σ = 512299200. Its totient is φ = 60203520.

The previous prime is 199965863. The next prime is 199965877. The reversal of 199965876 is 678569991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199965877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15900 + ... + 25548.

It is an arithmetic number, because the mean of its divisors is an integer number (10672900).

Almost surely, 2^199965876 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 199965876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256149600).

199965876 is an abundant number, since it is smaller than the sum of its proper divisors (312333324).

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

199965876 is a wasteful number, since it uses less digits than its factorization.

199965876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9824 (or 9822 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 60.

The square root of 199965876 is about 14140.9291066747. The cubic root of 199965876 is about 584.7702860237.

The spelling of 199965876 in words is "one hundred ninety-nine million, nine hundred sixty-five thousand, eight hundred seventy-six".