540330816 has 112 divisors (see below), whose sum is σ = 1526235200. Its totient is φ = 168210432.

The previous prime is 540330809. The next prime is 540330823. The reversal of 540330816 is 618033045.

It is an interprime number because it is at equal distance from previous prime (540330809) and next prime (540330823).

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, 265290 + ... + 267318.

It is an arithmetic number, because the mean of its divisors is an integer number (13627100).

Almost surely, 2^540330816 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 540330816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763117600).

540330816 is an abundant number, since it is smaller than the sum of its proper divisors (985904384).

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

540330816 is a wasteful number, since it uses less digits than its factorization.

540330816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 540330816 is about 23245.0170144055. The cubic root of 540330816 is about 814.4915422874.

The spelling of 540330816 in words is "five hundred forty million, three hundred thirty thousand, eight hundred sixteen".