540564660 has 72 divisors (see below), whose sum is σ = 1646877960. Its totient is φ = 143520768.

The previous prime is 540564631. The next prime is 540564671. The reversal of 540564660 is 66465045.

It is a happy number.

540564660 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 646 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31069476 + 509495184 = 5574^2 + 22572^2 .

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 23 ways as a sum of consecutive naturals, for example, 35496 + ... + 48384.

It is an arithmetic number, because the mean of its divisors is an integer number (22873305).

Almost surely, 2^540564660 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 540564660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823438980).

540564660 is an abundant number, since it is smaller than the sum of its proper divisors (1106313300).

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

540564660 is a wasteful number, since it uses less digits than its factorization.

540564660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13137 (or 13132 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 540564660 is about 23250.0464515665. The cubic root of 540564660 is about 814.6090237048.

The spelling of 540564660 in words is "five hundred forty million, five hundred sixty-four thousand, six hundred sixty".