540076320 has 288 divisors, whose sum is σ = 2127565440. Its totient is φ = 122204160.

The previous prime is 540076291. The next prime is 540076321. The reversal of 540076320 is 23670045.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540076321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1320276 + ... + 1320684.

It is an arithmetic number, because the mean of its divisors is an integer number (7387380).

Almost surely, 2^540076320 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 540076320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063782720).

540076320 is an abundant number, since it is smaller than the sum of its proper divisors (1587489120).

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

540076320 is a wasteful number, since it uses less digits than its factorization.

540076320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 540076320 is about 23239.5421641649. The cubic root of 540076320 is about 814.3636469402.

The spelling of 540076320 in words is "five hundred forty million, seventy-six thousand, three hundred twenty".