199890960 has 40 divisors (see below), whose sum is σ = 619662720. Its totient is φ = 53304192.

The previous prime is 199890959. The next prime is 199890973. The reversal of 199890960 is 69098991.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416200 + ... + 416679.

It is an arithmetic number, because the mean of its divisors is an integer number (15491568).

Almost surely, 2^199890960 is an apocalyptic number.

199890960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199890960 is an abundant number, since it is smaller than the sum of its proper divisors (419771760).

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

199890960 is a wasteful number, since it uses less digits than its factorization.

199890960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832895 (or 832889 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 51.

The square root of 199890960 is about 14138.2799519602. The cubic root of 199890960 is about 584.6972500244.

The spelling of 199890960 in words is "one hundred ninety-nine million, eight hundred ninety thousand, nine hundred sixty".