206809680 has 480 divisors, whose sum is σ = 870801408. Its totient is φ = 39398400.

The previous prime is 206809679. The next prime is 206809697. The reversal of 206809680 is 86908602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6671265 + ... + 6671295.

Almost surely, 2^206809680 is an apocalyptic number.

206809680 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 206809680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435400704).

206809680 is an abundant number, since it is smaller than the sum of its proper divisors (663991728).

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

206809680 is a wasteful number, since it uses less digits than its factorization.

206809680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 206809680 is about 14380.8789717458. The cubic root of 206809680 is about 591.3668205833.

The spelling of 206809680 in words is "two hundred six million, eight hundred nine thousand, six hundred eighty".