199977984 has 110 divisors (see below), whose sum is σ = 597421044. Its totient is φ = 66631680.

The previous prime is 199977977. The next prime is 199977989. The reversal of 199977984 is 489779991.

199977984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (199977989) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 81739 + ... + 84149.

Almost surely, 2^199977984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199977984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298710522).

199977984 is an abundant number, since it is smaller than the sum of its proper divisors (397443060).

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

199977984 is an equidigital number, since it uses as much as digits as its factorization.

199977984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2416 counting only the distinct ones).

The product of its digits is 10287648, while the sum is 63.

The square root of 199977984 is about 14141.3572191639. The cubic root of 199977984 is about 584.7820884636.

The spelling of 199977984 in words is "one hundred ninety-nine million, nine hundred seventy-seven thousand, nine hundred eighty-four".