240816 has 40 divisors (see below), whose sum is σ = 647280. Its totient is φ = 77056.

The previous prime is 240811. The next prime is 240829. The reversal of 240816 is 618042.

240816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 240792 and 240801.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 240816.

It is not an unprimeable number, because it can be changed into a prime (240811) 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, 1306 + ... + 1478.

It is an arithmetic number, because the mean of its divisors is an integer number (16182).

2²⁴⁰⁸¹⁶ 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 240816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323640).

240816 is an abundant number, since it is smaller than the sum of its proper divisors (406464).

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

240816 is a wasteful number, since it uses less digits than its factorization.

240816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 240816 is about 490.7300683675. The cubic root of 240816 is about 62.2150010516.

Adding to 240816 its reverse (618042), we get a palindrome (858858).

The spelling of 240816 in words is "two hundred forty thousand, eight hundred sixteen".