268088085 has 12 divisors (see below), whose sum is σ = 464686092. Its totient is φ = 142980288.

The previous prime is 268088071. The next prime is 268088087. The reversal of 268088085 is 580880862.

It can be written as a sum of positive squares in 2 ways, for example, as 30404196 + 237683889 = 5514^2 + 15417^2 .

It is not a de Polignac number, because 268088085 - 2⁶ = 268088021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 5957513 = 268088085 / (2 + 6 + 8 + 0 + 8 + 8 + 0 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 268088085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268088087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2978712 + ... + 2978801.

It is an arithmetic number, because the mean of its divisors is an integer number (38723841).

Almost surely, 2^268088085 is an apocalyptic number.

It is an amenable number.

268088085 is a deficient number, since it is larger than the sum of its proper divisors (196598007).

268088085 is a wasteful number, since it uses less digits than its factorization.

268088085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5957524 (or 5957521 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 268088085 is about 16373.3956465970. The cubic root of 268088085 is about 644.8012006766.

The spelling of 268088085 in words is "two hundred sixty-eight million, eighty-eight thousand, eighty-five".