206115966 has 36 divisors (see below), whose sum is σ = 510781752. Its totient is φ = 58844232.

The previous prime is 206115961. The next prime is 206115967. The reversal of 206115966 is 669511602.

206115966 is a `hidden beast` number, since 2 + 0 + 61 + 1 + 596 + 6 = 666.

It is a super-2 number, since 2×206115966² = 84967582880226312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 206115966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206115961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 160515 + ... + 161793.

It is an arithmetic number, because the mean of its divisors is an integer number (14188382).

Almost surely, 2^206115966 is an apocalyptic number.

206115966 is an abundant number, since it is smaller than the sum of its proper divisors (304665786).

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

206115966 is an equidigital number, since it uses as much as digits as its factorization.

206115966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 206115966 is about 14356.7393930516. The cubic root of 206115966 is about 590.7048609237.

It can be divided in two parts, 20611596 and 6, that added together give a palindrome (20611602).

The spelling of 206115966 in words is "two hundred six million, one hundred fifteen thousand, nine hundred sixty-six".