206126600 has 48 divisors (see below), whose sum is σ = 482530500. Its totient is φ = 81885440.

The previous prime is 206126579. The next prime is 206126617. The reversal of 206126600 is 6621602.

It can be written as a sum of positive squares in 6 ways, for example, as 47416996 + 158709604 = 6886^2 + 12598^2 .

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, 26342 + ... + 33258.

Almost surely, 2^206126600 is an apocalyptic number.

206126600 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 206126600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241265250).

206126600 is an abundant number, since it is smaller than the sum of its proper divisors (276403900).

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

206126600 is a wasteful number, since it uses less digits than its factorization.

206126600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7082 (or 7073 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 206126600 is about 14357.1097369909. The cubic root of 206126600 is about 590.7150193596.

The spelling of 206126600 in words is "two hundred six million, one hundred twenty-six thousand, six hundred".