243795168 has 72 divisors (see below), whose sum is σ = 695350656. Its totient is φ = 81024000.

The previous prime is 243795163. The next prime is 243795173. The reversal of 243795168 is 861597342.

It is an interprime number because it is at equal distance from previous prime (243795163) and next prime (243795173).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243795163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114433 + ... + 116543.

It is an arithmetic number, because the mean of its divisors is an integer number (9657648).

Almost surely, 2^243795168 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 243795168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347675328).

243795168 is an abundant number, since it is smaller than the sum of its proper divisors (451555488).

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

243795168 is a wasteful number, since it uses less digits than its factorization.

243795168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2517 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 243795168 is about 15613.9414626801. The cubic root of 243795168 is about 624.7050708755.

The spelling of 243795168 in words is "two hundred forty-three million, seven hundred ninety-five thousand, one hundred sixty-eight".