243920 has 20 divisors (see below), whose sum is σ = 567300. Its totient is φ = 97536.

The previous prime is 243917. The next prime is 243931. The reversal of 243920 is 29342.

243920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 53824 + 190096 = 232^2 + 436^2 .

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 243892 and 243901.

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 243920.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1445 + ... + 1604.

It is an arithmetic number, because the mean of its divisors is an integer number (28365).

2²⁴³⁹²⁰ is an apocalyptic number.

243920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243920 is an abundant number, since it is smaller than the sum of its proper divisors (323380).

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

243920 is a wasteful number, since it uses less digits than its factorization.

243920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 243920 is about 493.8825771375. The cubic root of 243920 is about 62.4811676594.

The spelling of 243920 in words is "two hundred forty-three thousand, nine hundred twenty".