206641968 has 120 divisors (see below), whose sum is σ = 592243344. Its totient is φ = 61716480.

The previous prime is 206641951. The next prime is 206641973. The reversal of 206641968 is 869146602.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1048846 + ... + 1049042.

Almost surely, 2^206641968 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 206641968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296121672).

206641968 is an abundant number, since it is smaller than the sum of its proper divisors (385601376).

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

206641968 is a wasteful number, since it uses less digits than its factorization.

206641968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 206641968 is about 14375.0467129676. The cubic root of 206641968 is about 591.2069213399.

The spelling of 206641968 in words is "two hundred six million, six hundred forty-one thousand, nine hundred sixty-eight".