540588 has 24 divisors (see below), whose sum is σ = 1328320. Its totient is φ = 170640.

The previous prime is 540587. The next prime is 540599. The reversal of 540588 is 885045.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (540587) 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 7 ways as a sum of consecutive naturals, for example, 958 + ... + 1413.

2⁵⁴⁰⁵⁸⁸ is an apocalyptic number.

It is an amenable number.

540588 is an abundant number, since it is smaller than the sum of its proper divisors (787732).

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

540588 is a wasteful number, since it uses less digits than its factorization.

540588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 540588 is about 735.2468973073. The cubic root of 540588 is about 81.4620747681.

It can be divided in two parts, 540 and 588, that added together give a triangular number (1128 = T₄₇).

The spelling of 540588 in words is "five hundred forty thousand, five hundred eighty-eight".