240709968 has 90 divisors (see below), whose sum is σ = 699832874. Its totient is φ = 80201664.

The previous prime is 240709949. The next prime is 240709969. The reversal of 240709968 is 869907042.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 185177664 + 55532304 = 13608^2 + 7452^2 .

It is a super-2 number, since 2×240709968² = 115882577389122048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240709969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103830 + ... + 106122.

Almost surely, 2^240709968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240709968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349916437).

240709968 is an abundant number, since it is smaller than the sum of its proper divisors (459122906).

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

240709968 is an frugal number, since it uses more digits than its factorization.

240709968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 240709968 is about 15514.8305823815. The cubic root of 240709968 is about 622.0586856123.

The spelling of 240709968 in words is "two hundred forty million, seven hundred nine thousand, nine hundred sixty-eight".