206867934 has 288 divisors, whose sum is σ = 643668480. Its totient is φ = 46531584.

The previous prime is 206867891. The next prime is 206867963. The reversal of 206867934 is 439768602.

206867934 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 206867934.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8994247 + ... + 8994269.

It is an arithmetic number, because the mean of its divisors is an integer number (2234960).

Almost surely, 2^206867934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206867934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321834240).

206867934 is an abundant number, since it is smaller than the sum of its proper divisors (436800546).

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

206867934 is a wasteful number, since it uses less digits than its factorization.

206867934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 206867934 is about 14382.9042268938. The cubic root of 206867934 is about 591.4223406291.

The spelling of 206867934 in words is "two hundred six million, eight hundred sixty-seven thousand, nine hundred thirty-four".