199856864 has 48 divisors (see below), whose sum is σ = 409011120. Its totient is φ = 96015360.

The previous prime is 199856863. The next prime is 199856873. The reversal of 199856864 is 468658991.

It is a happy number.

199856864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199856863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262244 + ... + 263004.

It is an arithmetic number, because the mean of its divisors is an integer number (8521065).

Almost surely, 2^199856864 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 199856864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204505560).

199856864 is an abundant number, since it is smaller than the sum of its proper divisors (209154256).

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

199856864 is a wasteful number, since it uses less digits than its factorization.

199856864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1075 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 56.

The square root of 199856864 is about 14137.0740961488. The cubic root of 199856864 is about 584.6640036133.

The spelling of 199856864 in words is "one hundred ninety-nine million, eight hundred fifty-six thousand, eight hundred sixty-four".