540132864 has 60 divisors (see below), whose sum is σ = 1441378356. Its totient is φ = 179740672.

The previous prime is 540132863. The next prime is 540132877. The reversal of 540132864 is 468231045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540132863) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 910552 + ... + 911144.

Almost surely, 2^540132864 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 540132864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720689178).

540132864 is an abundant number, since it is smaller than the sum of its proper divisors (901245492).

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

540132864 is an frugal number, since it uses more digits than its factorization.

540132864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 540132864 is about 23240.7586795268. The cubic root of 540132864 is about 814.3920662392.

The spelling of 540132864 in words is "five hundred forty million, one hundred thirty-two thousand, eight hundred sixty-four".