199734984 has 160 divisors (see below), whose sum is σ = 590557440. Its totient is φ = 62985600.

The previous prime is 199734971. The next prime is 199735009. The reversal of 199734984 is 489437991.

199734984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 199734984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1225287 + ... + 1225449.

It is an arithmetic number, because the mean of its divisors is an integer number (3690984).

Almost surely, 2^199734984 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 199734984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295278720).

199734984 is an abundant number, since it is smaller than the sum of its proper divisors (390822456).

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

199734984 is a wasteful number, since it uses less digits than its factorization.

199734984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 260 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 199734984 is about 14132.7627872260. The cubic root of 199734984 is about 584.5451296391.

The spelling of 199734984 in words is "one hundred ninety-nine million, seven hundred thirty-four thousand, nine hundred eighty-four".