199984512 has 256 divisors, whose sum is σ = 671731200. Its totient is φ = 51314688.

The previous prime is 199984457. The next prime is 199984531. The reversal of 199984512 is 215489991.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 2061648 + ... + 2061744.

It is an arithmetic number, because the mean of its divisors is an integer number (2623950).

Almost surely, 2^199984512 is an apocalyptic number.

199984512 is a gapful number since it is divisible by the number (12) 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 199984512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335865600).

199984512 is an abundant number, since it is smaller than the sum of its proper divisors (471746688).

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

199984512 is a wasteful number, since it uses less digits than its factorization.

199984512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 181 counting only the distinct ones).

The product of its digits is 233280, while the sum is 48.

The square root of 199984512 is about 14141.5880296380. The cubic root of 199984512 is about 584.7884515240.

The spelling of 199984512 in words is "one hundred ninety-nine million, nine hundred eighty-four thousand, five hundred twelve".