243690240 has 144 divisors (see below), whose sum is σ = 824287968. Its totient is φ = 61145088.

The previous prime is 243690233. The next prime is 243690259. The reversal of 243690240 is 42096342.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 243690198 and 243690207.

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 15 ways as a sum of consecutive naturals, for example, 63414 + ... + 67146.

It is an arithmetic number, because the mean of its divisors is an integer number (5724222).

Almost surely, 2^243690240 is an apocalyptic number.

243690240 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 243690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412143984).

243690240 is an abundant number, since it is smaller than the sum of its proper divisors (580597728).

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

243690240 is a wasteful number, since it uses less digits than its factorization.

243690240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 243690240 is about 15610.5810269829. The cubic root of 243690240 is about 624.6154348907.

The spelling of 243690240 in words is "two hundred forty-three million, six hundred ninety thousand, two hundred forty".