243680040 has 192 divisors, whose sum is σ = 868093200. Its totient is φ = 59006976.

The previous prime is 243680033. The next prime is 243680051. The reversal of 243680040 is 40086342.

It can be written as a sum of positive squares in 8 ways, for example, as 213802884 + 29877156 = 14622^2 + 5466^2 .

It is a junction number, because it is equal to n+sod(n) for n = 243679986 and 243680013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176794 + ... + 178166.

Almost surely, 2^243680040 is an apocalyptic number.

243680040 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 243680040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434046600).

243680040 is an abundant number, since it is smaller than the sum of its proper divisors (624413160).

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

243680040 is a wasteful number, since it uses less digits than its factorization.

243680040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 243680040 is about 15610.2543220794. The cubic root of 243680040 is about 624.6067200480.

The spelling of 243680040 in words is "two hundred forty-three million, six hundred eighty thousand, forty".