206740800 has 378 divisors, whose sum is σ = 857691198. Its totient is φ = 47093760.

The previous prime is 206740789. The next prime is 206740801. The reversal of 206740800 is 8047602.

It can be written as a sum of positive squares in 3 ways, for example, as 52186176 + 154554624 = 7224^2 + 12432^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206740801) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 705454 + ... + 705746.

Almost surely, 2^206740800 is an apocalyptic number.

206740800 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 206740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428845599).

206740800 is an abundant number, since it is smaller than the sum of its proper divisors (650950398).

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

206740800 is a wasteful number, since it uses less digits than its factorization.

206740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 206740800 is about 14378.4839256439. The cubic root of 206740800 is about 591.3011597792.

The spelling of 206740800 in words is "two hundred six million, seven hundred forty thousand, eight hundred".