540235584 has 126 divisors (see below), whose sum is σ = 1801396194. Its totient is φ = 154344960.

The previous prime is 540235561. The next prime is 540235589. The reversal of 540235584 is 485532045.

540235584 is a `hidden beast` number, since 5 + 40 + 2 + 35 + 584 = 666.

It can be written as a sum of positive squares in only one way, i.e., 469675584 + 70560000 = 21672^2 + 8400^2 .

It is a tau number, because it is divible by the number of its divisors (126).

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 (540235589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18654 + ... + 37794.

Almost surely, 2^540235584 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 540235584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900698097).

540235584 is an abundant number, since it is smaller than the sum of its proper divisors (1261160610).

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

540235584 is a wasteful number, since it uses less digits than its factorization.

540235584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19173 (or 19153 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 540235584 is about 23242.9684851139. The cubic root of 540235584 is about 814.4436887542.

The spelling of 540235584 in words is "five hundred forty million, two hundred thirty-five thousand, five hundred eighty-four".