540558720 has 192 divisors, whose sum is σ = 2010481200. Its totient is φ = 133042176.

The previous prime is 540558691. The next prime is 540558727. The reversal of 540558720 is 27855045.

It is a happy number.

540558720 is a `hidden beast` number, since 54 + 0 + 5 + 587 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (540558727) 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, 71271 + ... + 78489.

Almost surely, 2^540558720 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 540558720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005240600).

540558720 is an abundant number, since it is smaller than the sum of its proper divisors (1469922480).

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

540558720 is a wasteful number, since it uses less digits than its factorization.

540558720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7257 (or 7242 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 540558720 is about 23249.9187095353. The cubic root of 540558720 is about 814.6060399142.

The spelling of 540558720 in words is "five hundred forty million, five hundred fifty-eight thousand, seven hundred twenty".