268585807 has 16 divisors (see below), whose sum is σ = 313934400. Its totient is φ = 229691616.

The previous prime is 268585769. The next prime is 268585819. The reversal of 268585807 is 708585862.

It is a happy number.

It is not a de Polignac number, because 268585807 - 2¹¹ = 268583759 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268585607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264633 + ... + 265645.

It is an arithmetic number, because the mean of its divisors is an integer number (19620900).

Almost surely, 2^268585807 is an apocalyptic number.

268585807 is a deficient number, since it is larger than the sum of its proper divisors (45348593).

268585807 is an equidigital number, since it uses as much as digits as its factorization.

268585807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 49.

The square root of 268585807 is about 16388.5877060838. The cubic root of 268585807 is about 645.1999916659.

The spelling of 268585807 in words is "two hundred sixty-eight million, five hundred eighty-five thousand, eight hundred seven".