206314416 has 240 divisors, whose sum is σ = 752094720. Its totient is φ = 51194880.

The previous prime is 206314399. The next prime is 206314429. The reversal of 206314416 is 614413602.

206314416 is a `hidden beast` number, since 20 + 631 + 4 + 4 + 1 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 206314416.

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, 254620 + ... + 255428.

It is an arithmetic number, because the mean of its divisors is an integer number (3133728).

Almost surely, 2^206314416 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 206314416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376047360).

206314416 is an abundant number, since it is smaller than the sum of its proper divisors (545780304).

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

206314416 is a wasteful number, since it uses less digits than its factorization.

206314416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 206314416 is about 14363.6491185214. The cubic root of 206314416 is about 590.8943784725.

The spelling of 206314416 in words is "two hundred six million, three hundred fourteen thousand, four hundred sixteen".