243864 has 32 divisors (see below), whose sum is σ = 678000. Its totient is φ = 81216.

The previous prime is 243863. The next prime is 243871. The reversal of 243864 is 468342.

243864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243863) 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, 349 + ... + 780.

2²⁴³⁸⁶⁴ is an apocalyptic number.

243864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

243864 is an abundant number, since it is smaller than the sum of its proper divisors (434136).

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

243864 is a wasteful number, since it uses less digits than its factorization.

243864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1134 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 243864 is about 493.8258802453. The cubic root of 243864 is about 62.4763857457.

The spelling of 243864 in words is "two hundred forty-three thousand, eight hundred sixty-four".