268347057 has 32 divisors (see below), whose sum is σ = 415425024. Its totient is φ = 152275200.

The previous prime is 268347041. The next prime is 268347071. The reversal of 268347057 is 750743862.

It is not a de Polignac number, because 268347057 - 2⁴ = 268347041 is a prime.

It is a super-2 number, since 2×268347057² = 144020286001122498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (268347077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117238 + ... + 119504.

It is an arithmetic number, because the mean of its divisors is an integer number (12982032).

Almost surely, 2^268347057 is an apocalyptic number.

It is an amenable number.

268347057 is a deficient number, since it is larger than the sum of its proper divisors (147077967).

268347057 is a wasteful number, since it uses less digits than its factorization.

268347057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509.

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 268347057 is about 16381.3020544766. The cubic root of 268347057 is about 645.0087589701.

The spelling of 268347057 in words is "two hundred sixty-eight million, three hundred forty-seven thousand, fifty-seven".