540338688 has 240 divisors, whose sum is σ = 1671205536. Its totient is φ = 174182400.

The previous prime is 540338683. The next prime is 540338699. The reversal of 540338688 is 886833045.

It is a super-2 number, since 2×540338688² = 583931795499122688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (540338681) 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, 5349838 + ... + 5349938.

Almost surely, 2^540338688 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 540338688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835602768).

540338688 is an abundant number, since it is smaller than the sum of its proper divisors (1130866848).

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

540338688 is an equidigital number, since it uses as much as digits as its factorization.

540338688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 540338688 is about 23245.1863404017. The cubic root of 540338688 is about 814.4954976705.

The spelling of 540338688 in words is "five hundred forty million, three hundred thirty-eight thousand, six hundred eighty-eight".