268968 has 32 divisors (see below), whose sum is σ = 768960. Its totient is φ = 76800.

The previous prime is 268937. The next prime is 268969. The reversal of 268968 is 869862.

It is an Ulam number.

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

268968 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 7 ways as a sum of consecutive naturals, for example, 633 + ... + 968.

It is an arithmetic number, because the mean of its divisors is an integer number (24030).

2²⁶⁸⁹⁶⁸ is an apocalyptic number.

268968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

268968 is an abundant number, since it is smaller than the sum of its proper divisors (499992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

268968 is a wasteful number, since it uses less digits than its factorization.

268968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1613 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 268968 is about 518.6212490826. The cubic root of 268968 is about 64.5505882796.

The spelling of 268968 in words is "two hundred sixty-eight thousand, nine hundred sixty-eight".