199019808 has 288 divisors, whose sum is σ = 664070400. Its totient is φ = 57867264.

The previous prime is 199019797. The next prime is 199019819. The reversal of 199019808 is 808910991.

199019808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199019797) and next prime (199019819).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4234441 + ... + 4234487.

It is an arithmetic number, because the mean of its divisors is an integer number (2305800).

Almost surely, 2^199019808 is an apocalyptic number.

199019808 is a gapful number since it is divisible by the number (18) 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 199019808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332035200).

199019808 is an abundant number, since it is smaller than the sum of its proper divisors (465050592).

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

199019808 is a wasteful number, since it uses less digits than its factorization.

199019808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 45.

The square root of 199019808 is about 14107.4380381414. The cubic root of 199019808 is about 583.8466163769.

The spelling of 199019808 in words is "one hundred ninety-nine million, nineteen thousand, eight hundred eight".