540960768 has 144 divisors (see below), whose sum is σ = 1621751040. Its totient is φ = 180154368.

The previous prime is 540960767. The next prime is 540960773. The reversal of 540960768 is 867069045.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (540960767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497121 + ... + 498207.

It is an arithmetic number, because the mean of its divisors is an integer number (11262160).

Almost surely, 2^540960768 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 540960768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810875520).

540960768 is an abundant number, since it is smaller than the sum of its proper divisors (1080790272).

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

540960768 is an equidigital number, since it uses as much as digits as its factorization.

540960768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 540960768 is about 23258.5633262246. The cubic root of 540960768 is about 814.8079480225.

The spelling of 540960768 in words is "five hundred forty million, nine hundred sixty thousand, seven hundred sixty-eight".