243240864 has 96 divisors (see below), whose sum is σ = 676952640. Its totient is φ = 76339200.

The previous prime is 243240859. The next prime is 243240883. The reversal of 243240864 is 468042342.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×243240864² = 118332235838932992, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113079 + ... + 115209.

It is an arithmetic number, because the mean of its divisors is an integer number (7051590).

Almost surely, 2^243240864 is an apocalyptic number.

243240864 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 243240864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338476320).

243240864 is an abundant number, since it is smaller than the sum of its proper divisors (433711776).

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

243240864 is a wasteful number, since it uses less digits than its factorization.

243240864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 243240864 is about 15596.1810710186. The cubic root of 243240864 is about 624.2312587935.

The spelling of 243240864 in words is "two hundred forty-three million, two hundred forty thousand, eight hundred sixty-four".