540264 has 16 divisors (see below), whose sum is σ = 1350720. Its totient is φ = 180080.

The previous prime is 540251. The next prime is 540269. The reversal of 540264 is 462045.

540264 = T₄ + T₅ + ... + T₁₄₇.

It is a happy number.

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 540264.

It is not an unprimeable number, because it can be changed into a prime (540269) by changing a digit.

540264 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 3 ways as a sum of consecutive naturals, for example, 11232 + ... + 11279.

It is an arithmetic number, because the mean of its divisors is an integer number (84420).

2⁵⁴⁰²⁶⁴ is an apocalyptic number.

It is an amenable number.

540264 is an abundant number, since it is smaller than the sum of its proper divisors (810456).

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

540264 is a wasteful number, since it uses less digits than its factorization.

540264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22520 (or 22516 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 540264 is about 735.0265301334. The cubic root of 540264 is about 81.4457968220.

The spelling of 540264 in words is "five hundred forty thousand, two hundred sixty-four".