540306 has 24 divisors (see below), whose sum is σ = 1261260. Its totient is φ = 166176.

The previous prime is 540301. The next prime is 540307. The reversal of 540306 is 603045.

It is a happy number.

540306 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 2 ways, for example, as 540225 + 81 = 735^2 + 9^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 540306.

It is not an unprimeable number, because it can be changed into a prime (540301) by changing a digit.

540306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 921 + ... + 1388.

2⁵⁴⁰³⁰⁶ is an apocalyptic number.

540306 is an abundant number, since it is smaller than the sum of its proper divisors (720954).

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

540306 is a wasteful number, since it uses less digits than its factorization.

540306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 540306 is about 735.0550999755. The cubic root of 540306 is about 81.4479072932.

The spelling of 540306 in words is "five hundred forty thousand, three hundred six".