199399680 has 216 divisors, whose sum is σ = 727009920. Its totient is φ = 50319360.

The previous prime is 199399649. The next prime is 199399691. The reversal of 199399680 is 86993991.

199399680 is a `hidden beast` number, since 199 + 399 + 68 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218425 + ... + 219335.

Almost surely, 2^199399680 is an apocalyptic number.

199399680 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 199399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363504960).

199399680 is an abundant number, since it is smaller than the sum of its proper divisors (527610240).

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

199399680 is a wasteful number, since it uses less digits than its factorization.

199399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The square root of 199399680 is about 14120.8951557612. The cubic root of 199399680 is about 584.2178457940.

The spelling of 199399680 in words is "one hundred ninety-nine million, three hundred ninety-nine thousand, six hundred eighty".