540335680 has 112 divisors (see below), whose sum is σ = 1364650560. Its totient is φ = 203212800.

The previous prime is 540335669. The next prime is 540335683. The reversal of 540335680 is 86533045.

It is not an unprimeable number, because it can be changed into a prime (540335683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1100235 + ... + 1100725.

It is an arithmetic number, because the mean of its divisors is an integer number (12184380).

Almost surely, 2^540335680 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 540335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682325280).

540335680 is an abundant number, since it is smaller than the sum of its proper divisors (824314880).

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

540335680 is a wasteful number, since it uses less digits than its factorization.

540335680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 540335680 is about 23245.1216387439. The cubic root of 540335680 is about 814.4939862685.

The spelling of 540335680 in words is "five hundred forty million, three hundred thirty-five thousand, six hundred eighty".