206008000 has 112 divisors (see below), whose sum is σ = 556796448. Its totient is φ = 74880000.

The previous prime is 206007961. The next prime is 206008009. The reversal of 206008000 is 800602.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (206008009) 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 15 ways as a sum of consecutive naturals, for example, 86830 + ... + 89170.

Almost surely, 2^206008000 is an apocalyptic number.

206008000 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 206008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278398224).

206008000 is an abundant number, since it is smaller than the sum of its proper divisors (350788448).

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

206008000 is a wasteful number, since it uses less digits than its factorization.

206008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 206008000 is about 14352.9787849073. The cubic root of 206008000 is about 590.6017034940.

Adding to 206008000 its reverse (800602), we get a palindrome (206808602).

The spelling of 206008000 in words is "two hundred six million, eight thousand".