240782208 has 128 divisors (see below), whose sum is σ = 669772800. Its totient is φ = 76554240.

The previous prime is 240782159. The next prime is 240782209. The reversal of 240782208 is 802287042.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240782209) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1345063 + ... + 1345241.

It is an arithmetic number, because the mean of its divisors is an integer number (5232600).

Almost surely, 2^240782208 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 240782208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334886400).

240782208 is an abundant number, since it is smaller than the sum of its proper divisors (428990592).

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

240782208 is a wasteful number, since it uses less digits than its factorization.

240782208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 240782208 is about 15517.1585027672. The cubic root of 240782208 is about 622.1209085233.

The spelling of 240782208 in words is "two hundred forty million, seven hundred eighty-two thousand, two hundred eight".