199864896 has 168 divisors, whose sum is σ = 664829760. Its totient is φ = 51870720.

The previous prime is 199864877. The next prime is 199864901. The reversal of 199864896 is 698468991.

199864896 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 (168).

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 23 ways as a sum of consecutive naturals, for example, 162010 + ... + 163238.

It is an arithmetic number, because the mean of its divisors is an integer number (3957320).

Almost surely, 2^199864896 is an apocalyptic number.

199864896 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 199864896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332414880).

199864896 is an abundant number, since it is smaller than the sum of its proper divisors (464964864).

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

199864896 is a wasteful number, since it uses less digits than its factorization.

199864896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1252 counting only the distinct ones).

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

The square root of 199864896 is about 14137.3581690498. The cubic root of 199864896 is about 584.6718358160.

The spelling of 199864896 in words is "one hundred ninety-nine million, eight hundred sixty-four thousand, eight hundred ninety-six".