206726400 has 324 divisors, whose sum is σ = 766894492. Its totient is φ = 53084160.

The previous prime is 206726371. The next prime is 206726407. The reversal of 206726400 is 4627602.

It can be written as a sum of positive squares in 6 ways, for example, as 746496 + 205979904 = 864^2 + 14352^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206726407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2131152 + ... + 2131248.

Almost surely, 2^206726400 is an apocalyptic number.

206726400 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 206726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383447246).

206726400 is an abundant number, since it is smaller than the sum of its proper divisors (560168092).

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

206726400 is a wasteful number, since it uses less digits than its factorization.

206726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 206726400 is about 14377.9831687202. The cubic root of 206726400 is about 591.2874309387.

It can be divided in two parts, 20672 and 6400, that added together give a palindrome (27072).

The spelling of 206726400 in words is "two hundred six million, seven hundred twenty-six thousand, four hundred".