268218240 has 64 divisors (see below), whose sum is σ = 854951760. Its totient is φ = 71524352.

The previous prime is 268218239. The next prime is 268218253. The reversal of 268218240 is 42812862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67929 + ... + 71768.

Almost surely, 2^268218240 is an apocalyptic number.

268218240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268218240 is an abundant number, since it is smaller than the sum of its proper divisors (586733520).

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

268218240 is a wasteful number, since it uses less digits than its factorization.

268218240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139719 (or 139707 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 268218240 is about 16377.3697521916. The cubic root of 268218240 is about 644.9055327066.

The spelling of 268218240 in words is "two hundred sixty-eight million, two hundred eighteen thousand, two hundred forty".