206041968 has 200 divisors, whose sum is σ = 661676400. Its totient is φ = 61378560.

The previous prime is 206041967. The next prime is 206041973. The reversal of 206041968 is 869140602.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206041961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1382758 + ... + 1382906.

It is an arithmetic number, because the mean of its divisors is an integer number (3308382).

Almost surely, 2^206041968 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 206041968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330838200).

206041968 is an abundant number, since it is smaller than the sum of its proper divisors (455634432).

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

206041968 is a wasteful number, since it uses less digits than its factorization.

206041968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 206041968 is about 14354.1620445082. The cubic root of 206041968 is about 590.6341625185.

The spelling of 206041968 in words is "two hundred six million, forty-one thousand, nine hundred sixty-eight".