240960 has 56 divisors (see below), whose sum is σ = 768096. Its totient is φ = 64000.

The previous prime is 240959. The next prime is 240967. The reversal of 240960 is 69042.

It is a nialpdrome in base 12.

It is a congruent number.

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, 835 + ... + 1085.

It is an arithmetic number, because the mean of its divisors is an integer number (13716).

2²⁴⁰⁹⁶⁰ is an apocalyptic number.

240960 is a gapful number since it is divisible by the number (20) 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 240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384048).

240960 is an abundant number, since it is smaller than the sum of its proper divisors (527136).

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

240960 is a wasteful number, since it uses less digits than its factorization.

240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 261 counting only the distinct ones).

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

The square root of 240960 is about 490.8767666126. The cubic root of 240960 is about 62.2273994180.

It can be divided in two parts, 240 and 960, that multiplied together give a square (230400 = 480²).

The spelling of 240960 in words is "two hundred forty thousand, nine hundred sixty".