199882960 has 40 divisors (see below), whose sum is σ = 465316200. Its totient is φ = 79852032.

The previous prime is 199882937. The next prime is 199882961. The reversal of 199882960 is 69288991.

It can be written as a sum of positive squares in 4 ways, for example, as 17740944 + 182142016 = 4212^2 + 13496^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 199882898 and 199882907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199882961) 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, 123114 + ... + 124726.

It is an arithmetic number, because the mean of its divisors is an integer number (11632905).

Almost surely, 2^199882960 is an apocalyptic number.

199882960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199882960 is an abundant number, since it is smaller than the sum of its proper divisors (265433240).

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

199882960 is a wasteful number, since it uses less digits than its factorization.

199882960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3175 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 52.

The square root of 199882960 is about 14137.9970292825. The cubic root of 199882960 is about 584.6894497043.

The spelling of 199882960 in words is "one hundred ninety-nine million, eight hundred eighty-two thousand, nine hundred sixty".