199790976 has 256 divisors, whose sum is σ = 687398400. Its totient is φ = 49889280.

The previous prime is 199790957. The next prime is 199790989. The reversal of 199790976 is 679097991.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 857356 + ... + 857588.

It is an arithmetic number, because the mean of its divisors is an integer number (2685150).

Almost surely, 2^199790976 is an apocalyptic number.

199790976 is a gapful number since it is divisible by the number (16) 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 199790976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343699200).

199790976 is an abundant number, since it is smaller than the sum of its proper divisors (487607424).

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

199790976 is a wasteful number, since it uses less digits than its factorization.

199790976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1928934, while the sum is 57.

The square root of 199790976 is about 14134.7435774407. The cubic root of 199790976 is about 584.5997466660.

The spelling of 199790976 in words is "one hundred ninety-nine million, seven hundred ninety thousand, nine hundred seventy-six".