540584 has 16 divisors (see below), whose sum is σ = 1105920. Its totient is φ = 245680.

The previous prime is 540577. The next prime is 540587. The reversal of 540584 is 485045.

540584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

540584 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×540584² = 584462122112, which contains 22 as substring.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 540584.

It is not an unprimeable number, because it can be changed into a prime (540587) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2984 + ... + 3159.

It is an arithmetic number, because the mean of its divisors is an integer number (69120).

2⁵⁴⁰⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

540584 is an abundant number, since it is smaller than the sum of its proper divisors (565336).

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

540584 is a wasteful number, since it uses less digits than its factorization.

540584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6160 (or 6156 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 540584 is about 735.2441771276. The cubic root of 540584 is about 81.4618738454.

The spelling of 540584 in words is "five hundred forty thousand, five hundred eighty-four".