203820 has 48 divisors (see below), whose sum is σ = 591360. Its totient is φ = 52416.

The previous prime is 203809. The next prime is 203821. The reversal of 203820 is 28302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 203820.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 203820.

It is not an unprimeable number, because it can be changed into a prime (203821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2541 + ... + 2619.

It is an arithmetic number, because the mean of its divisors is an integer number (12320).

2²⁰³⁸²⁰ is an apocalyptic number.

203820 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 203820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295680).

203820 is an abundant number, since it is smaller than the sum of its proper divisors (387540).

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

203820 is a wasteful number, since it uses less digits than its factorization.

203820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 203820 is about 451.4642843016. The cubic root of 203820 is about 58.8503340583.

The spelling of 203820 in words is "two hundred three thousand, eight hundred twenty".