203904 has 64 divisors (see below), whose sum is σ = 612000. Its totient is φ = 66816.

The previous prime is 203897. The next prime is 203909. The reversal of 203904 is 409302.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (203909) 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, 3427 + ... + 3485.

2²⁰³⁹⁰⁴ is an apocalyptic number.

203904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306000).

203904 is an abundant number, since it is smaller than the sum of its proper divisors (408096).

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

203904 is an equidigital number, since it uses as much as digits as its factorization.

203904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 203904 is about 451.5573053334. The cubic root of 203904 is about 58.8584175783.

The spelling of 203904 in words is "two hundred three thousand, nine hundred four".