243285640 has 192 divisors, whose sum is σ = 658141200. Its totient is φ = 80510976.

The previous prime is 243285631. The next prime is 243285649. The reversal of 243285640 is 46582342.

It is an interprime number because it is at equal distance from previous prime (243285631) and next prime (243285649).

It can be written as a sum of positive squares in 24 ways, for example, as 17023876 + 226261764 = 4126^2 + 15042^2 .

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 = 243285596 and 243285605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243285649) by changing a digit.

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, 3332644 + ... + 3332716.

Almost surely, 2^243285640 is an apocalyptic number.

243285640 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 243285640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329070600).

243285640 is an abundant number, since it is smaller than the sum of its proper divisors (414855560).

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

243285640 is a wasteful number, since it uses less digits than its factorization.

243285640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 243285640 is about 15597.6164845787. The cubic root of 243285640 is about 624.2695594632.

The spelling of 243285640 in words is "two hundred forty-three million, two hundred eighty-five thousand, six hundred forty".