200688 has 40 divisors (see below), whose sum is σ = 537168. Its totient is φ = 64512.

The previous prime is 200671. The next prime is 200689. The reversal of 200688 is 886002.

200688 is nontrivially palindromic in base 15.

200688 is digitally balanced in base 3, 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 (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1720 + ... + 1832.

2²⁰⁰⁶⁸⁸ 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 200688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268584).

200688 is an abundant number, since it is smaller than the sum of its proper divisors (336480).

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

200688 is a wasteful number, since it uses less digits than its factorization.

200688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 200688 is about 447.9821425012. The cubic root of 200688 is about 58.5473354918.

It can be divided in two parts, 200 and 688, that added together give a palindrome (888).

The spelling of 200688 in words is "two hundred thousand, six hundred eighty-eight".