268349841 has 20 divisors (see below), whose sum is σ = 401348772. Its totient is φ = 178685568.

The previous prime is 268349833. The next prime is 268349869. The reversal of 268349841 is 148943862.

It is a happy number.

268349841 is a `hidden beast` number, since 268 + 349 + 8 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86099841 + 182250000 = 9279^2 + 13500^2 .

It is not a de Polignac number, because 268349841 - 2³ = 268349833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (268345841) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95245 + ... + 98021.

Almost surely, 2^268349841 is an apocalyptic number.

It is an amenable number.

268349841 is a deficient number, since it is larger than the sum of its proper divisors (132998931).

268349841 is a wasteful number, since it uses less digits than its factorization.

268349841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3982 (or 3973 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 268349841 is about 16381.3870291865. The cubic root of 268349841 is about 645.0109895369.

The spelling of 268349841 in words is "two hundred sixty-eight million, three hundred forty-nine thousand, eight hundred forty-one".