206889600 has 192 divisors, whose sum is σ = 711829440. Its totient is φ = 52715520.

The previous prime is 206889593. The next prime is 206889619. The reversal of 206889600 is 6988602.

206889600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220332 + ... + 221268.

It is an arithmetic number, because the mean of its divisors is an integer number (3707445).

Almost surely, 2^206889600 is an apocalyptic number.

206889600 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 206889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355914720).

206889600 is an abundant number, since it is smaller than the sum of its proper divisors (504939840).

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

206889600 is a wasteful number, since it uses less digits than its factorization.

206889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 970 counting only the distinct ones).

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

The square root of 206889600 is about 14383.6573930277. The cubic root of 206889600 is about 591.4429871496.

The spelling of 206889600 in words is "two hundred six million, eight hundred eighty-nine thousand, six hundred".