540108288 has 240 divisors, whose sum is σ = 1702272000. Its totient is φ = 164229120.

The previous prime is 540108281. The next prime is 540108323. The reversal of 540108288 is 882801045.

540108288 is a `hidden beast` number, since 540 + 108 + 2 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540108281) 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, 2714013 + ... + 2714211.

It is an arithmetic number, because the mean of its divisors is an integer number (7092800).

Almost surely, 2^540108288 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 540108288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851136000).

540108288 is an abundant number, since it is smaller than the sum of its proper divisors (1162163712).

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

540108288 is a wasteful number, since it uses less digits than its factorization.

540108288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 540108288 is about 23240.2299472273. The cubic root of 540108288 is about 814.3797144616.

The spelling of 540108288 in words is "five hundred forty million, one hundred eight thousand, two hundred eighty-eight".