206938368 has 432 divisors, whose sum is σ = 782933760. Its totient is φ = 53415936.

The previous prime is 206938351. The next prime is 206938393. The reversal of 206938368 is 863839602.

206938368 is a `hidden beast` number, since 206 + 9 + 383 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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, 4402921 + ... + 4402967.

Almost surely, 2^206938368 is an apocalyptic number.

206938368 is a gapful number since it is divisible by the number (28) 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 206938368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391466880).

206938368 is an abundant number, since it is smaller than the sum of its proper divisors (575995392).

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

206938368 is a wasteful number, since it uses less digits than its factorization.

206938368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 206938368 is about 14385.3525504243. The cubic root of 206938368 is about 591.4894551299.

The spelling of 206938368 in words is "two hundred six million, nine hundred thirty-eight thousand, three hundred sixty-eight".