240768 has 96 divisors (see below), whose sum is σ = 795600. Its totient is φ = 69120.

The previous prime is 240763. The next prime is 240769. The reversal of 240768 is 867042.

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (240763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12663 + ... + 12681.

2²⁴⁰⁷⁶⁸ 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 240768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397800).

240768 is an abundant number, since it is smaller than the sum of its proper divisors (554832).

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

240768 is a wasteful number, since it uses less digits than its factorization.

240768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 240768 is about 490.6811592063. The cubic root of 240768 is about 62.2108671645.

The spelling of 240768 in words is "two hundred forty thousand, seven hundred sixty-eight".