540960 has 144 divisors (see below), whose sum is σ = 2068416. Its totient is φ = 118272.

The previous prime is 540907. The next prime is 540961. The reversal of 540960 is 69045.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 540960.

It is not an unprimeable number, because it can be changed into a prime (540961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23509 + ... + 23531.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2⁵⁴⁰⁹⁶⁰ is an apocalyptic number.

It is a pronic number, being equal to 735×736.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034208).

540960 is an abundant number, since it is smaller than the sum of its proper divisors (1527456).

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

540960 is a wasteful number, since it uses less digits than its factorization.

540960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 540960 is about 735.4998300476. The cubic root of 540960 is about 81.4807562429.

It can be divided in two parts, 540 and 960, that multiplied together give a square (518400 = 720²).

The spelling of 540960 in words is "five hundred forty thousand, nine hundred sixty".