206516016 has 240 divisors, whose sum is σ = 714954240. Its totient is φ = 54328320.

The previous prime is 206516003. The next prime is 206516027. The reversal of 206516016 is 610615602.

It is a happy number.

206516016 is a `hidden beast` number, since 2 + 0 + 6 + 51 + 601 + 6 = 666.

206516016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 785101 + ... + 785363.

It is an arithmetic number, because the mean of its divisors is an integer number (2978976).

Almost surely, 2^206516016 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 206516016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357477120).

206516016 is an abundant number, since it is smaller than the sum of its proper divisors (508438224).

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

206516016 is a wasteful number, since it uses less digits than its factorization.

206516016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 206516016 is about 14370.6651203067. The cubic root of 206516016 is about 591.0867798395.

It can be divided in two parts, 2065 and 16016, that added together give a palindrome (18081).

The spelling of 206516016 in words is "two hundred six million, five hundred sixteen thousand, sixteen".