268918240 has 48 divisors (see below), whose sum is σ = 672697872. Its totient is φ = 101238784.

The previous prime is 268918207. The next prime is 268918261. The reversal of 268918240 is 42819862.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 268918193 and 268918202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46714 + ... + 52153.

It is an arithmetic number, because the mean of its divisors is an integer number (14014539).

Almost surely, 2^268918240 is an apocalyptic number.

268918240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268918240 is an abundant number, since it is smaller than the sum of its proper divisors (403779632).

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

268918240 is a wasteful number, since it uses less digits than its factorization.

268918240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98899 (or 98891 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 268918240 is about 16398.7267798448. The cubic root of 268918240 is about 645.4660734086.

The spelling of 268918240 in words is "two hundred sixty-eight million, nine hundred eighteen thousand, two hundred forty".