268664881 has 9 divisors (see below), whose sum is σ = 276747051. Its totient is φ = 260813592.

The previous prime is 268664867. The next prime is 268664917. The reversal of 268664881 is 188466862.

The square root of 268664881 is 16391.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 240405025 + 28259856 = 15505^2 + 5316^2 .

It is not a de Polignac number, because 268664881 - 2⁵ = 268664849 is a prime.

It is a super-2 number, since 2×268664881² = 144361636565488322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (268674881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 606246 + ... + 606688.

Almost surely, 2^268664881 is an apocalyptic number.

268664881 is the 16391-st square number.

268664881 is the 8196-th centered octagonal number.

It is an amenable number.

268664881 is a deficient number, since it is larger than the sum of its proper divisors (8082170).

268664881 is an frugal number, since it uses more digits than its factorization.

268664881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 480 counting only the distinct ones).

The product of its digits is 884736, while the sum is 49.

The cubic root of 268664881 is about 645.2633029515.

Multiplying 268664881 by its sum of digits (49), we get a square (13164579169 = 114737²).

The spelling of 268664881 in words is "two hundred sixty-eight million, six hundred sixty-four thousand, eight hundred eighty-one".