199952016 has 120 divisors (see below), whose sum is σ = 573921600. Its totient is φ = 59938560.

The previous prime is 199952009. The next prime is 199952047. The reversal of 199952016 is 610259991.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 1004685 + ... + 1004883.

It is an arithmetic number, because the mean of its divisors is an integer number (4782680).

Almost surely, 2^199952016 is an apocalyptic number.

199952016 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 199952016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286960800).

199952016 is an abundant number, since it is smaller than the sum of its proper divisors (373969584).

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

199952016 is a wasteful number, since it uses less digits than its factorization.

199952016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 42.

The square root of 199952016 is about 14140.4390313738. The cubic root of 199952016 is about 584.7567752128.

The spelling of 199952016 in words is "one hundred ninety-nine million, nine hundred fifty-two thousand, sixteen".