203688 has 64 divisors (see below), whose sum is σ = 604800. Its totient is φ = 63360.

The previous prime is 203669. The next prime is 203713. The reversal of 203688 is 886302.

203688 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 (27).

It is a nialpdrome in base 6 and base 14.

It is an unprimeable number.

203688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4948 + ... + 4988.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2²⁰³⁶⁸⁸ 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 203688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

203688 is an abundant number, since it is smaller than the sum of its proper divisors (401112).

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

203688 is a wasteful number, since it uses less digits than its factorization.

203688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 203688 is about 451.3180696582. The cubic root of 203688 is about 58.8376268957.

The spelling of 203688 in words is "two hundred three thousand, six hundred eighty-eight".