268757040 has 40 divisors (see below), whose sum is σ = 833147568. Its totient is φ = 71668480.

The previous prime is 268757039. The next prime is 268757059. The reversal of 268757040 is 40757862.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 268757040.

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, 559671 + ... + 560150.

Almost surely, 2^268757040 is an apocalyptic number.

268757040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268757040 is an abundant number, since it is smaller than the sum of its proper divisors (564390528).

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

268757040 is a wasteful number, since it uses less digits than its factorization.

268757040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119837 (or 1119831 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 268757040 is about 16393.8110273359. The cubic root of 268757040 is about 645.3370751819.

The spelling of 268757040 in words is "two hundred sixty-eight million, seven hundred fifty-seven thousand, forty".