240096 has 48 divisors (see below), whose sum is σ = 656208. Its totient is φ = 76800.

The previous prime is 240089. The next prime is 240101. The reversal of 240096 is 690042.

240096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

240096 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3906 + ... + 3966.

It is an arithmetic number, because the mean of its divisors is an integer number (13671).

2²⁴⁰⁰⁹⁶ 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 240096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328104).

240096 is an abundant number, since it is smaller than the sum of its proper divisors (416112).

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

240096 is a wasteful number, since it uses less digits than its factorization.

240096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 240096 is about 489.9959183503. The cubic root of 240096 is about 62.1529349679.

It can be divided in two parts, 2400 and 96, that multiplied together give a square (230400 = 480²).

The spelling of 240096 in words is "two hundred forty thousand, ninety-six".