203940 has 72 divisors (see below), whose sum is σ = 681408. Its totient is φ = 48960.

The previous prime is 203921. The next prime is 203947. The reversal of 203940 is 49302.

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

It is not an unprimeable number, because it can be changed into a prime (203947) by changing a digit.

203940 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 23 ways as a sum of consecutive naturals, for example, 1929 + ... + 2031.

It is an arithmetic number, because the mean of its divisors is an integer number (9464).

2²⁰³⁹⁴⁰ is an apocalyptic number.

203940 is a gapful number since it is divisible by the number (20) 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 203940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340704).

203940 is an abundant number, since it is smaller than the sum of its proper divisors (477468).

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

203940 is a wasteful number, since it uses less digits than its factorization.

203940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 124 counting only the distinct ones).

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

The square root of 203940 is about 451.5971656244. The cubic root of 203940 is about 58.8618812644.

The spelling of 203940 in words is "two hundred three thousand, nine hundred forty".