268964 has 12 divisors (see below), whose sum is σ = 495600. Its totient is φ = 127368.

The previous prime is 268937. The next prime is 268969. The reversal of 268964 is 469862.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (268969) by changing a digit.

268964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 1694 + ... + 1845.

It is an arithmetic number, because the mean of its divisors is an integer number (41300).

2²⁶⁸⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

268964 is a deficient number, since it is larger than the sum of its proper divisors (226636).

268964 is a wasteful number, since it uses less digits than its factorization.

268964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562 (or 3560 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 268964 is about 518.6173926894. The cubic root of 268964 is about 64.5502682866.

It can be divided in two parts, 26896 and 4, that multiplied together give a square (107584 = 328²).

The spelling of 268964 in words is "two hundred sixty-eight thousand, nine hundred sixty-four".