540072960 has 176 divisors, whose sum is σ = 1974552576. Its totient is φ = 123420672.

The previous prime is 540072947. The next prime is 540073007. The reversal of 540072960 is 69270045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105009 + ... + 110031.

Almost surely, 2^540072960 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 540072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987276288).

540072960 is an abundant number, since it is smaller than the sum of its proper divisors (1434479616).

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

540072960 is a wasteful number, since it uses less digits than its factorization.

540072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5058 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 540072960 is about 23239.4698734717. The cubic root of 540072960 is about 814.3619581249.

The spelling of 540072960 in words is "five hundred forty million, seventy-two thousand, nine hundred sixty".