200688768 has 192 divisors, whose sum is σ = 677214720. Its totient is φ = 55848960.

The previous prime is 200688751. The next prime is 200688769. The reversal of 200688768 is 867886002.

200688768 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 a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (200688769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330321 + ... + 330927.

It is an arithmetic number, because the mean of its divisors is an integer number (3527160).

Almost surely, 2^200688768 is an apocalyptic number.

200688768 is a gapful number since it is divisible by the number (28) 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 200688768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338607360).

200688768 is an abundant number, since it is smaller than the sum of its proper divisors (476525952).

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

200688768 is a wasteful number, since it uses less digits than its factorization.

200688768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 200688768 is about 14166.4663201520. The cubic root of 200688768 is about 585.4741017535.

The spelling of 200688768 in words is "two hundred million, six hundred eighty-eight thousand, seven hundred sixty-eight".