540587520 has 480 divisors, whose sum is σ = 2144862720. Its totient is φ = 129392640.

The previous prime is 540587507. The next prime is 540587543. The reversal of 540587520 is 25785045.

It is a happy number.

540587520 is a `hidden beast` number, since 54 + 0 + 5 + 87 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6842841 + ... + 6842919.

It is an arithmetic number, because the mean of its divisors is an integer number (4468464).

Almost surely, 2^540587520 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 540587520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072431360).

540587520 is an abundant number, since it is smaller than the sum of its proper divisors (1604275200).

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

540587520 is an equidigital number, since it uses as much as digits as its factorization.

540587520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 100 counting only the distinct ones).

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

The square root of 540587520 is about 23250.5380582902. The cubic root of 540587520 is about 814.6205065740.

The spelling of 540587520 in words is "five hundred forty million, five hundred eighty-seven thousand, five hundred twenty".