243264 has 56 divisors (see below), whose sum is σ = 739648. Its totient is φ = 69120.

The previous prime is 243263. The next prime is 243301. The reversal of 243264 is 462342.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 243264.

It is not an unprimeable number, because it can be changed into a prime (243263) 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, 1254 + ... + 1434.

It is an arithmetic number, because the mean of its divisors is an integer number (13208).

2²⁴³²⁶⁴ is an apocalyptic number.

243264 is a gapful number since it is divisible by the number (24) 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 243264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369824).

243264 is an abundant number, since it is smaller than the sum of its proper divisors (496384).

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

243264 is a wasteful number, since it uses less digits than its factorization.

243264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 193 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 243264 is about 493.2180045375. The cubic root of 243264 is about 62.4251049542.

The spelling of 243264 in words is "two hundred forty-three thousand, two hundred sixty-four".