206668000 has 288 divisors, whose sum is σ = 648333504. Its totient is φ = 63360000.

The previous prime is 206667983. The next prime is 206668009. The reversal of 206668000 is 866602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 206668000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206668009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3387970 + ... + 3388030.

It is an arithmetic number, because the mean of its divisors is an integer number (2251158).

Almost surely, 2^206668000 is an apocalyptic number.

206668000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324166752).

206668000 is an abundant number, since it is smaller than the sum of its proper divisors (441665504).

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

206668000 is a wasteful number, since it uses less digits than its factorization.

206668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 206668000 is about 14375.9521423800. The cubic root of 206668000 is about 591.2317463267.

The spelling of 206668000 in words is "two hundred six million, six hundred sixty-eight thousand".