243648864 has 48 divisors (see below), whose sum is σ = 710645040. Its totient is φ = 81216000.

The previous prime is 243648833. The next prime is 243648929. The reversal of 243648864 is 468846342.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140137 + ... + 141864.

It is an arithmetic number, because the mean of its divisors is an integer number (14805105).

Almost surely, 2^243648864 is an apocalyptic number.

243648864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

243648864 is an abundant number, since it is smaller than the sum of its proper divisors (466996176).

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

243648864 is a wasteful number, since it uses less digits than its factorization.

243648864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282020 (or 282006 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 243648864 is about 15609.2557157604. The cubic root of 243648864 is about 624.5800818799.

The spelling of 243648864 in words is "two hundred forty-three million, six hundred forty-eight thousand, eight hundred sixty-four".