540729648 has 80 divisors (see below), whose sum is σ = 1590002400. Its totient is φ = 175841280.

The previous prime is 540729619. The next prime is 540729649. The reversal of 540729648 is 846927045.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (540729649) 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, 2448 + ... + 32976.

It is an arithmetic number, because the mean of its divisors is an integer number (19875030).

Almost surely, 2^540729648 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 540729648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795001200).

540729648 is an abundant number, since it is smaller than the sum of its proper divisors (1049272752).

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

540729648 is a wasteful number, since it uses less digits than its factorization.

540729648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30587 (or 30575 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 540729648 is about 23253.5943028169. The cubic root of 540729648 is about 814.6918920166.

The spelling of 540729648 in words is "five hundred forty million, seven hundred twenty-nine thousand, six hundred forty-eight".