540591888 has 80 divisors (see below), whose sum is σ = 1476905472. Its totient is φ = 170112000.

The previous prime is 540591881. The next prime is 540591923. The reversal of 540591888 is 888195045.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (540591881) 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, 56578 + ... + 65438.

Almost surely, 2^540591888 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 540591888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738452736).

540591888 is an abundant number, since it is smaller than the sum of its proper divisors (936313584).

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

540591888 is a wasteful number, since it uses less digits than its factorization.

540591888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8944 (or 8938 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 48.

The square root of 540591888 is about 23250.6319914105. The cubic root of 540591888 is about 814.6227006392.

The spelling of 540591888 in words is "five hundred forty million, five hundred ninety-one thousand, eight hundred eighty-eight".