240960768 has 144 divisors (see below), whose sum is σ = 686784000. Its totient is φ = 74833920.

The previous prime is 240960763. The next prime is 240960773. The reversal of 240960768 is 867069042.

It is an interprime number because it is at equal distance from previous prime (240960763) and next prime (240960773).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240960763) 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 15 ways as a sum of consecutive naturals, for example, 690258 + ... + 690606.

Almost surely, 2^240960768 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 240960768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343392000).

240960768 is an abundant number, since it is smaller than the sum of its proper divisors (445823232).

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

240960768 is a wasteful number, since it uses less digits than its factorization.

240960768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 240960768 is about 15522.9110671936. The cubic root of 240960768 is about 622.2746552942.

The spelling of 240960768 in words is "two hundred forty million, nine hundred sixty thousand, seven hundred sixty-eight".