243840672 has 96 divisors (see below), whose sum is σ = 714067200. Its totient is φ = 80953344.

The previous prime is 243840643. The next prime is 243840679. The reversal of 243840672 is 276048342.

243840672 is a `hidden beast` number, since 243 + 8 + 406 + 7 + 2 = 666.

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

It is a super-3 number, since 3×243840672³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (243840679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316704 + ... + 317472.

It is an arithmetic number, because the mean of its divisors is an integer number (7438200).

Almost surely, 2^243840672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243840672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357033600).

243840672 is an abundant number, since it is smaller than the sum of its proper divisors (470226528).

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

243840672 is a wasteful number, since it uses less digits than its factorization.

243840672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 243840672 is about 15615.3985539915. The cubic root of 243840672 is about 624.7439352103.

The spelling of 243840672 in words is "two hundred forty-three million, eight hundred forty thousand, six hundred seventy-two".