201200688 has 120 divisors (see below), whose sum is σ = 632896992. Its totient is φ = 59203584.

The previous prime is 201200669. The next prime is 201200719. The reversal of 201200688 is 886002102.

201200688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 40720 + ... + 45392.

Almost surely, 2^201200688 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 201200688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316448496).

201200688 is an abundant number, since it is smaller than the sum of its proper divisors (431696304).

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

201200688 is a wasteful number, since it uses less digits than its factorization.

201200688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4723 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 201200688 is about 14184.5228330036. The cubic root of 201200688 is about 585.9714911950.

The spelling of 201200688 in words is "two hundred one million, two hundred thousand, six hundred eighty-eight".