268338825 has 36 divisors (see below), whose sum is σ = 498436848. Its totient is φ = 143110800.

The previous prime is 268338823. The next prime is 268338857. The reversal of 268338825 is 528833862.

268338825 is a `hidden beast` number, since 268 + 3 + 388 + 2 + 5 = 666.

It is not a de Polignac number, because 268338825 - 2¹ = 268338823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (268338823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16011 + ... + 28160.

It is an arithmetic number, because the mean of its divisors is an integer number (13845468).

Almost surely, 2^268338825 is an apocalyptic number.

268338825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

268338825 is a deficient number, since it is larger than the sum of its proper divisors (230098023).

268338825 is an equidigital number, since it uses as much as digits as its factorization.

268338825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44196 (or 44179 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 268338825 is about 16381.0507904713. The cubic root of 268338825 is about 645.0021633243.

The spelling of 268338825 in words is "two hundred sixty-eight million, three hundred thirty-eight thousand, eight hundred twenty-five".