204116016 has 80 divisors (see below), whose sum is σ = 573261920. Its totient is φ = 62208000.

The previous prime is 204116009. The next prime is 204116021. The reversal of 204116016 is 610611402.

It is a junction number, because it is equal to n+sod(n) for n = 204115983 and 204116001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66516 + ... + 69516.

It is an arithmetic number, because the mean of its divisors is an integer number (7165774).

Almost surely, 2^204116016 is an apocalyptic number.

204116016 is a gapful number since it is divisible by the number (26) 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 204116016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286630960).

204116016 is an abundant number, since it is smaller than the sum of its proper divisors (369145904).

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

204116016 is a wasteful number, since it uses less digits than its factorization.

204116016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 204116016 is about 14286.9176521740. The cubic root of 204116016 is about 588.7881051423.

Adding to 204116016 its reverse (610611402), we get a palindrome (814727418).

The spelling of 204116016 in words is "two hundred four million, one hundred sixteen thousand, sixteen".