540312640 has 168 divisors, whose sum is σ = 1525438656. Its totient is φ = 178560000.

The previous prime is 540312631. The next prime is 540312677. The reversal of 540312640 is 46213045.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2152515 + ... + 2152765.

It is an arithmetic number, because the mean of its divisors is an integer number (9079992).

Almost surely, 2^540312640 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 540312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762719328).

540312640 is an abundant number, since it is smaller than the sum of its proper divisors (985126016).

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

540312640 is a wasteful number, since it uses less digits than its factorization.

540312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 540312640 is about 23244.6260456046. The cubic root of 540312640 is about 814.4824093859.

Adding to 540312640 its reverse (46213045), we get a palindrome (586525685).

The spelling of 540312640 in words is "five hundred forty million, three hundred twelve thousand, six hundred forty".