240564 has 12 divisors (see below), whose sum is σ = 561344. Its totient is φ = 80184.

The previous prime is 240551. The next prime is 240571. The reversal of 240564 is 465042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 240564.

It is a congruent number.

It is an unprimeable number.

240564 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 10012 + ... + 10035.

2²⁴⁰⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

240564 is an abundant number, since it is smaller than the sum of its proper divisors (320780).

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

240564 is a wasteful number, since it uses less digits than its factorization.

240564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20054 (or 20052 counting only the distinct ones).

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

The square root of 240564 is about 490.4732408603. The cubic root of 240564 is about 62.1932920121.

The spelling of 240564 in words is "two hundred forty thousand, five hundred sixty-four".