540606240 has 144 divisors (see below), whose sum is σ = 1942012800. Its totient is φ = 136567296.

The previous prime is 540606233. The next prime is 540606257. The reversal of 540606240 is 42606045.

It is a happy number.

540606240 is a `hidden beast` number, since 54 + 0 + 606 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17481 + ... + 37239.

It is an arithmetic number, because the mean of its divisors is an integer number (13486200).

Almost surely, 2^540606240 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 540606240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971006400).

540606240 is an abundant number, since it is smaller than the sum of its proper divisors (1401406560).

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

540606240 is a wasteful number, since it uses less digits than its factorization.

540606240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19799 (or 19788 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 540606240 is about 23250.9406261338. The cubic root of 540606240 is about 814.6299096273.

The spelling of 540606240 in words is "five hundred forty million, six hundred six thousand, two hundred forty".