206406200 has 192 divisors, whose sum is σ = 644958720. Its totient is φ = 59328000.

The previous prime is 206406199. The next prime is 206406217. The reversal of 206406200 is 2604602.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 199685 + ... + 200715.

It is an arithmetic number, because the mean of its divisors is an integer number (3359160).

Almost surely, 2^206406200 is an apocalyptic number.

206406200 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 206406200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322479360).

206406200 is an abundant number, since it is smaller than the sum of its proper divisors (438552520).

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

206406200 is a wasteful number, since it uses less digits than its factorization.

206406200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 206406200 is about 14366.8437730770. The cubic root of 206406200 is about 590.9819900738.

The spelling of 206406200 in words is "two hundred six million, four hundred six thousand, two hundred".