203868 has 36 divisors (see below), whose sum is σ = 589680. Its totient is φ = 58176.

The previous prime is 203857. The next prime is 203869. The reversal of 203868 is 868302.

203868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×203868² = 83124322848, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203869) by changing a digit.

203868 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 11 ways as a sum of consecutive naturals, for example, 153 + ... + 656.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2²⁰³⁸⁶⁸ is an apocalyptic number.

203868 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

203868 is an abundant number, since it is smaller than the sum of its proper divisors (385812).

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

203868 is a wasteful number, since it uses less digits than its factorization.

203868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 821 counting only the distinct ones).

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

The square root of 203868 is about 451.5174415236. The cubic root of 203868 is about 58.8549534845.

Subtracting from 203868 its sum of digits (27), we obtain a triangular number (203841 = T₆₃₈).

The spelling of 203868 in words is "two hundred three thousand, eight hundred sixty-eight".