199694880 has 288 divisors, whose sum is σ = 850082688. Its totient is φ = 41472000.

The previous prime is 199694879. The next prime is 199694897. The reversal of 199694880 is 88496991.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 109980 + ... + 111780.

It is an arithmetic number, because the mean of its divisors is an integer number (2951676).

Almost surely, 2^199694880 is an apocalyptic number.

199694880 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 199694880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425041344).

199694880 is an abundant number, since it is smaller than the sum of its proper divisors (650387808).

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

199694880 is a wasteful number, since it uses less digits than its factorization.

199694880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 199694880 is about 14131.3438851370. The cubic root of 199694880 is about 584.5060041830.

The spelling of 199694880 in words is "one hundred ninety-nine million, six hundred ninety-four thousand, eight hundred eighty".