206891200 has 84 divisors (see below), whose sum is σ = 512502912. Its totient is φ = 82201600.

The previous prime is 206891183. The next prime is 206891239. The reversal of 206891200 is 2198602.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 305262 + ... + 305938.

Almost surely, 2^206891200 is an apocalyptic number.

206891200 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 206891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256251456).

206891200 is an abundant number, since it is smaller than the sum of its proper divisors (305611712).

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

206891200 is a wasteful number, since it uses less digits than its factorization.

206891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 206891200 is about 14383.7130115975. The cubic root of 206891200 is about 591.4445118055. Note that the first 3 decimals are identical.

The spelling of 206891200 in words is "two hundred six million, eight hundred ninety-one thousand, two hundred".