240820864 has 32 divisors (see below), whose sum is σ = 492736500. Its totient is φ = 117153792.

The previous prime is 240820849. The next prime is 240820883. The reversal of 240820864 is 468028042.

240820864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 217857600 + 22963264 = 14760^2 + 4792^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable 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, 20689 + ... + 30160.

Almost surely, 2^240820864 is an apocalyptic number.

It is an amenable number.

240820864 is an abundant number, since it is smaller than the sum of its proper divisors (251915636).

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

240820864 is an equidigital number, since it uses as much as digits as its factorization.

240820864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50900 (or 50888 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 240820864 is about 15518.4040416533. The cubic root of 240820864 is about 622.1541992154.

The spelling of 240820864 in words is "two hundred forty million, eight hundred twenty thousand, eight hundred sixty-four".