199916080 has 120 divisors (see below), whose sum is σ = 582431472. Its totient is φ = 63254016.

The previous prime is 199916033. The next prime is 199916083. The reversal of 199916080 is 80619991.

It is not an unprimeable number, because it can be changed into a prime (199916083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48999 + ... + 52921.

Almost surely, 2^199916080 is an apocalyptic number.

199916080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199916080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291215736).

199916080 is an abundant number, since it is smaller than the sum of its proper divisors (382515392).

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

199916080 is a wasteful number, since it uses less digits than its factorization.

199916080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3963 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 43.

The square root of 199916080 is about 14139.1682923714. The cubic root of 199916080 is about 584.7217416767.

The spelling of 199916080 in words is "one hundred ninety-nine million, nine hundred sixteen thousand, eighty".