243744640 has 128 divisors (see below), whose sum is σ = 632538720. Its totient is φ = 89456640.

The previous prime is 243744637. The next prime is 243744667. The reversal of 243744640 is 46447342.

243744640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×243744640² = 118822899057459200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 243744596 and 243744605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467580 + ... + 468100.

Almost surely, 2^243744640 is an apocalyptic number.

243744640 is a gapful number since it is divisible by the number (20) 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 243744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316269360).

243744640 is an abundant number, since it is smaller than the sum of its proper divisors (388794080).

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

243744640 is a wasteful number, since it uses less digits than its factorization.

243744640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 34.

The square root of 243744640 is about 15612.3233376714. The cubic root of 243744640 is about 624.6619099452.

The spelling of 243744640 in words is "two hundred forty-three million, seven hundred forty-four thousand, six hundred forty".