200775168 has 240 divisors, whose sum is σ = 672184656. Its totient is φ = 57016320.

The previous prime is 200775167. The next prime is 200775191. The reversal of 200775168 is 861577002.

200775168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200775161) 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, 861580 + ... + 861812.

Almost surely, 2^200775168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200775168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336092328).

200775168 is an abundant number, since it is smaller than the sum of its proper divisors (471409488).

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

200775168 is a wasteful number, since it uses less digits than its factorization.

200775168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 200775168 is about 14169.5154469022. The cubic root of 200775168 is about 585.5581086221.

The spelling of 200775168 in words is "two hundred million, seven hundred seventy-five thousand, one hundred sixty-eight".