199656864 has 288 divisors, whose sum is σ = 679311360. Its totient is φ = 54950400.

The previous prime is 199656817. The next prime is 199656887. The reversal of 199656864 is 468656991.

It is a happy number.

199656864 is a `hidden beast` number, since 19 + 9 + 6 + 568 + 64 = 666.

199656864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 199656864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1865899 + ... + 1866005.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2^199656864 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 199656864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339655680).

199656864 is an abundant number, since it is smaller than the sum of its proper divisors (479654496).

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

199656864 is a wasteful number, since it uses less digits than its factorization.

199656864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 199656864 is about 14129.9987261146. The cubic root of 199656864 is about 584.4689109428.

The spelling of 199656864 in words is "one hundred ninety-nine million, six hundred fifty-six thousand, eight hundred sixty-four".