240864768 has 120 divisors (see below), whose sum is σ = 701548848. Its totient is φ = 79552512.

The previous prime is 240864739. The next prime is 240864773. The reversal of 240864768 is 867468042.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 769380 + ... + 769692.

Almost surely, 2^240864768 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 240864768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350774424).

240864768 is an abundant number, since it is smaller than the sum of its proper divisors (460684080).

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

240864768 is a wasteful number, since it uses less digits than its factorization.

240864768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 240864768 is about 15519.8185556404. The cubic root of 240864768 is about 622.1920051841.

It can be divided in two parts, 2408 and 64768, that added together give a palindrome (67176).

The spelling of 240864768 in words is "two hundred forty million, eight hundred sixty-four thousand, seven hundred sixty-eight".