240968 has 32 divisors (see below), whose sum is σ = 557760. Its totient is φ = 95040.

The previous prime is 240967. The next prime is 240997. The reversal of 240968 is 869042.

240968 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 240968.

It is not an unprimeable number, because it can be changed into a prime (240967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 563 + ... + 893.

It is an arithmetic number, because the mean of its divisors is an integer number (17430).

2²⁴⁰⁹⁶⁸ is an apocalyptic number.

240968 is a gapful number since it is divisible by the number (28) 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 240968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278880).

240968 is an abundant number, since it is smaller than the sum of its proper divisors (316792).

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

240968 is a wasteful number, since it uses less digits than its factorization.

240968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 240968 is about 490.8849152296. The cubic root of 240968 is about 62.2280880713.

The spelling of 240968 in words is "two hundred forty thousand, nine hundred sixty-eight".