268107875 has 32 divisors (see below), whose sum is σ = 385482240. Its totient is φ = 182364000.

The previous prime is 268107863. The next prime is 268107877. The reversal of 268107875 is 578701862.

It is a Cunningham number, because it is equal to 16374²-1.

It is a de Polignac number, because none of the positive numbers 2^k-268107875 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (268107877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113456 + ... + 115794.

It is an arithmetic number, because the mean of its divisors is an integer number (12046320).

Almost surely, 2^268107875 is an apocalyptic number.

268107875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

268107875 is a deficient number, since it is larger than the sum of its proper divisors (117374365).

268107875 is a wasteful number, since it uses less digits than its factorization.

268107875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 44.

The square root of 268107875 is about 16373.9999694638. Note that the first 4 decimals coincide. The cubic root of 268107875 is about 644.8170664840.

The spelling of 268107875 in words is "two hundred sixty-eight million, one hundred seven thousand, eight hundred seventy-five".