240863840 has 96 divisors (see below), whose sum is σ = 656631360. Its totient is φ = 81782784.

The previous prime is 240863809. The next prime is 240863849. The reversal of 240863840 is 48368042.

240863840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 240863840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240863849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121094 + ... + 123066.

It is an arithmetic number, because the mean of its divisors is an integer number (6839910).

Almost surely, 2^240863840 is an apocalyptic number.

240863840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240863840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328315680).

240863840 is an abundant number, since it is smaller than the sum of its proper divisors (415767520).

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

240863840 is a wasteful number, since it uses less digits than its factorization.

240863840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 240863840 is about 15519.7886583549. The cubic root of 240863840 is about 622.1912061259.

The spelling of 240863840 in words is "two hundred forty million, eight hundred sixty-three thousand, eight hundred forty".