206064936 has 288 divisors, whose sum is σ = 730329600. Its totient is φ = 51321600.

The previous prime is 206064931. The next prime is 206064949. The reversal of 206064936 is 639460602.

206064936 is a `hidden beast` number, since 2 + 0 + 6 + 0 + 649 + 3 + 6 = 666.

206064936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 206064936.

It is not an unprimeable number, because it can be changed into a prime (206064931) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1890450 + ... + 1890558.

Almost surely, 2^206064936 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 206064936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365164800).

206064936 is an abundant number, since it is smaller than the sum of its proper divisors (524264664).

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

206064936 is a wasteful number, since it uses less digits than its factorization.

206064936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 206064936 is about 14354.9620689154. The cubic root of 206064936 is about 590.6561081793.

The spelling of 206064936 in words is "two hundred six million, sixty-four thousand, nine hundred thirty-six".