540539328 has 112 divisors (see below), whose sum is σ = 1639742720. Its totient is φ = 153944064.

The previous prime is 540539309. The next prime is 540539407. The reversal of 540539328 is 823935045.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×540539328² = 584365530229383168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 702528 + ... + 703296.

It is an arithmetic number, because the mean of its divisors is an integer number (14640560).

Almost surely, 2^540539328 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 540539328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819871360).

540539328 is an abundant number, since it is smaller than the sum of its proper divisors (1099203392).

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

540539328 is a wasteful number, since it uses less digits than its factorization.

540539328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 540539328 is about 23249.5016720789. The cubic root of 540539328 is about 814.5962987405.

The spelling of 540539328 in words is "five hundred forty million, five hundred thirty-nine thousand, three hundred twenty-eight".