268738905 has 32 divisors (see below), whose sum is σ = 438939648. Its totient is φ = 140369600.

The previous prime is 268738901. The next prime is 268738913. The reversal of 268738905 is 509837862.

It is not a de Polignac number, because 268738905 - 2² = 268738901 is a prime.

It is not an unprimeable number, because it can be changed into a prime (268738901) 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, 177100 + ... + 178610.

It is an arithmetic number, because the mean of its divisors is an integer number (13716864).

Almost surely, 2^268738905 is an apocalyptic number.

It is an amenable number.

268738905 is a deficient number, since it is larger than the sum of its proper divisors (170200743).

268738905 is a wasteful number, since it uses less digits than its factorization.

268738905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757.

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 268738905 is about 16393.2579129348. The cubic root of 268738905 is about 645.3225596538.

It can be divided in two parts, 26873 and 8905, that added together give a triangular number (35778 = T₂₆₇).

The spelling of 268738905 in words is "two hundred sixty-eight million, seven hundred thirty-eight thousand, nine hundred five".