199968864 has 24 divisors (see below), whose sum is σ = 524918520. Its totient is φ = 66656256.

The previous prime is 199968851. The next prime is 199968869. The reversal of 199968864 is 468869991.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 199968798 and 199968807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199968869) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1041409 + ... + 1041600.

It is an arithmetic number, because the mean of its divisors is an integer number (21871605).

Almost surely, 2^199968864 is an apocalyptic number.

It is an amenable number.

199968864 is an abundant number, since it is smaller than the sum of its proper divisors (324949656).

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

199968864 is a wasteful number, since it uses less digits than its factorization.

199968864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083022 (or 2083014 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 60.

The square root of 199968864 is about 14141.0347570466. The cubic root of 199968864 is about 584.7731986622.

The spelling of 199968864 in words is "one hundred ninety-nine million, nine hundred sixty-eight thousand, eight hundred sixty-four".