203920 has 20 divisors (see below), whose sum is σ = 474300. Its totient is φ = 81536.

The previous prime is 203911. The next prime is 203921. The reversal of 203920 is 29302.

It can be written as a sum of positive squares in 2 ways, for example, as 138384 + 65536 = 372^2 + 256^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 203894 and 203903.

It is not an unprimeable number, because it can be changed into a prime (203921) by changing a digit.

203920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1195 + ... + 1354.

It is an arithmetic number, because the mean of its divisors is an integer number (23715).

2²⁰³⁹²⁰ is an apocalyptic number.

203920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203920 is an abundant number, since it is smaller than the sum of its proper divisors (270380).

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

203920 is a wasteful number, since it uses less digits than its factorization.

203920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2562 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 203920 is about 451.5750214527. The cubic root of 203920 is about 58.8599570447.

It can be divided in two parts, 20 and 3920, that multiplied together give a square (78400 = 280²).

The spelling of 203920 in words is "two hundred three thousand, nine hundred twenty".