199967880 has 128 divisors (see below), whose sum is σ = 692686080. Its totient is φ = 45235200.

The previous prime is 199967863. The next prime is 199967899. The reversal of 199967880 is 88769991.

It is a Cunningham number, because it is equal to 14141²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 199967880.

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 31 ways as a sum of consecutive naturals, for example, 83662 + ... + 86018.

It is an arithmetic number, because the mean of its divisors is an integer number (5411610).

Almost surely, 2^199967880 is an apocalyptic number.

199967880 is a gapful number since it is divisible by the number (10) 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 199967880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346343040).

199967880 is an abundant number, since it is smaller than the sum of its proper divisors (492718200).

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

199967880 is a wasteful number, since it uses less digits than its factorization.

199967880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 57.

The square root of 199967880 is about 14140.9999646418. Note that the first 4 decimals coincide. The cubic root of 199967880 is about 584.7722394832.

The spelling of 199967880 in words is "one hundred ninety-nine million, nine hundred sixty-seven thousand, eight hundred eighty".