199380816 has 60 divisors (see below), whose sum is σ = 562973268. Its totient is φ = 65866752.

The previous prime is 199380793. The next prime is 199380817. The reversal of 199380816 is 618083991.

199380816 is a `hidden beast` number, since 199 + 380 + 81 + 6 = 666.

199380816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 38192400 + 161188416 = 6180^2 + 12696^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199380817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10146 + ... + 22398.

Almost surely, 2^199380816 is an apocalyptic number.

199380816 is a gapful number since it is divisible by the number (16) 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 199380816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281486634).

199380816 is an abundant number, since it is smaller than the sum of its proper divisors (363592452).

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

199380816 is a wasteful number, since it uses less digits than its factorization.

199380816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12380 (or 12371 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 199380816 is about 14120.2271936396. The cubic root of 199380816 is about 584.1994221051.

The spelling of 199380816 in words is "one hundred ninety-nine million, three hundred eighty thousand, eight hundred sixteen".