199868832 has 36 divisors (see below), whose sum is σ = 568377810. Its totient is φ = 66622848.

The previous prime is 199868821. The next prime is 199868833. The reversal of 199868832 is 238868991.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 102333456 + 97535376 = 10116^2 + 9876^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (199868833) 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 5 ways as a sum of consecutive naturals, for example, 346707 + ... + 347282.

Almost surely, 2^199868832 is an apocalyptic number.

199868832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199868832 is an abundant number, since it is smaller than the sum of its proper divisors (368508978).

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

199868832 is a wasteful number, since it uses less digits than its factorization.

199868832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694005 (or 693994 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 199868832 is about 14137.4973740051. The cubic root of 199868832 is about 584.6756738307.

The spelling of 199868832 in words is "one hundred ninety-nine million, eight hundred sixty-eight thousand, eight hundred thirty-two".