200016 has 40 divisors (see below), whose sum is σ = 575360. Its totient is φ = 66528.

The previous prime is 200009. The next prime is 200017. The reversal of 200016 is 610002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 199980 and 200007.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 200016.

It is not an unprimeable number, because it can be changed into a prime (200017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201 + ... + 663.

It is an arithmetic number, because the mean of its divisors is an integer number (14384).

2²⁰⁰⁰¹⁶ 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 200016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287680).

200016 is an abundant number, since it is smaller than the sum of its proper divisors (375344).

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

200016 is a wasteful number, since it uses less digits than its factorization.

200016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 200016 is about 447.2314836860. The cubic root of 200016 is about 58.4819141988.

Adding to 200016 its product of nonzero digits (12), we get a triangular number (200028 = T₆₃₂).

Adding to 200016 its reverse (610002), we get a palindrome (810018).

It can be divided in two parts, 2000 and 16, that added together give a triangular number (2016 = T₆₃).

The spelling of 200016 in words is "two hundred thousand, sixteen".