243967680 has 448 divisors, whose sum is σ = 1000719360. Its totient is φ = 55296000.

The previous prime is 243967673. The next prime is 243967699. The reversal of 243967680 is 86769342.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1615605 + ... + 1615755.

Almost surely, 2^243967680 is an apocalyptic number.

243967680 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 243967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500359680).

243967680 is an abundant number, since it is smaller than the sum of its proper divisors (756751680).

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

243967680 is a wasteful number, since it uses less digits than its factorization.

243967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 243967680 is about 15619.4647795627. The cubic root of 243967680 is about 624.8523854053.

The spelling of 243967680 in words is "two hundred forty-three million, nine hundred sixty-seven thousand, six hundred eighty".