240576 has 56 divisors (see below), whose sum is σ = 731520. Its totient is φ = 68352.

The previous prime is 240571. The next prime is 240587. The reversal of 240576 is 675042.

It is a happy number.

240576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1255 + ... + 1433.

2²⁴⁰⁵⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365760).

240576 is an abundant number, since it is smaller than the sum of its proper divisors (490944).

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

240576 is a wasteful number, since it uses less digits than its factorization.

240576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 240576 is about 490.4854737910. The cubic root of 240576 is about 62.1943261195.

The spelling of 240576 in words is "two hundred forty thousand, five hundred seventy-six".