268896825 has 36 divisors (see below), whose sum is σ = 490733100. Its totient is φ = 140699520.

The previous prime is 268896811. The next prime is 268896827. The reversal of 268896825 is 528698862.

It can be written as a sum of positive squares in 6 ways, for example, as 26378496 + 242518329 = 5136^2 + 15573^2 .

It is not a de Polignac number, because 268896825 - 2¹⁹ = 268372537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (268896827) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 651 + ... + 23199.

It is an arithmetic number, because the mean of its divisors is an integer number (13631475).

Almost surely, 2^268896825 is an apocalyptic number.

268896825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

268896825 is a deficient number, since it is larger than the sum of its proper divisors (221836275).

268896825 is a wasteful number, since it uses less digits than its factorization.

268896825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22618 (or 22610 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 268896825 is about 16398.0738198119. The cubic root of 268896825 is about 645.4489393002.

The spelling of 268896825 in words is "two hundred sixty-eight million, eight hundred ninety-six thousand, eight hundred twenty-five".