203808 has 48 divisors (see below), whose sum is σ = 586656. Its totient is φ = 61440.

The previous prime is 203807. The next prime is 203809. The reversal of 203808 is 808302.

It is an interprime number because it is at equal distance from previous prime (203807) and next prime (203809).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (203807) 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, 960 + ... + 1152.

It is an arithmetic number, because the mean of its divisors is an integer number (12222).

2²⁰³⁸⁰⁸ 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 203808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293328).

203808 is an abundant number, since it is smaller than the sum of its proper divisors (382848).

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

203808 is a wasteful number, since it uses less digits than its factorization.

203808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 203808 is about 451.4509940182. The cubic root of 203808 is about 58.8491790885.

It can be divided in two parts, 20 and 3808, that added together give a triangular number (3828 = T₈₇).

The spelling of 203808 in words is "two hundred three thousand, eight hundred eight".