540091288 has 64 divisors (see below), whose sum is σ = 1145664000. Its totient is φ = 236565120.

The previous prime is 540091271. The next prime is 540091289. The reversal of 540091288 is 882190045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540091289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276138 + ... + 278086.

It is an arithmetic number, because the mean of its divisors is an integer number (17901000).

Almost surely, 2^540091288 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 540091288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572832000).

540091288 is an abundant number, since it is smaller than the sum of its proper divisors (605572712).

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

540091288 is a wasteful number, since it uses less digits than its factorization.

540091288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 540091288 is about 23239.8641992590. The cubic root of 540091288 is about 814.3711701254.

The spelling of 540091288 in words is "five hundred forty million, ninety-one thousand, two hundred eighty-eight".