540560640 has 288 divisors, whose sum is σ = 1883750400. Its totient is φ = 131604480.

The previous prime is 540560617. The next prime is 540560707. The reversal of 540560640 is 46065045.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 540560598 and 540560607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2261641 + ... + 2261879.

It is an arithmetic number, because the mean of its divisors is an integer number (6540800).

Almost surely, 2^540560640 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 540560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941875200).

540560640 is an abundant number, since it is smaller than the sum of its proper divisors (1343189760).

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

540560640 is a wasteful number, since it uses less digits than its factorization.

540560640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 540560640 is about 23249.9599999656. The cubic root of 540560640 is about 814.6070043742.

The spelling of 540560640 in words is "five hundred forty million, five hundred sixty thousand, six hundred forty".