268945 has 12 divisors (see below), whose sum is σ = 342900. Its totient is φ = 202464.

The previous prime is 268937. The next prime is 268969. The reversal of 268945 is 549862.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 61009 + 207936 = 247^2 + 456^2 .

It is not a de Polignac number, because 268945 - 2³ = 268937 is a prime.

Its product of digits (17280) is a multiple of the sum of its prime factors (192).

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 268945.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 1731 + ... + 1879.

It is an arithmetic number, because the mean of its divisors is an integer number (28575).

2²⁶⁸⁹⁴⁵ is an apocalyptic number.

It is an amenable number.

268945 is a deficient number, since it is larger than the sum of its proper divisors (73955).

268945 is a wasteful number, since it uses less digits than its factorization.

268945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 173 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 268945 is about 518.5990744303. The cubic root of 268945 is about 64.5487482765.

Adding to 268945 its product of digits (17280), we get a square (286225 = 535²).

The spelling of 268945 in words is "two hundred sixty-eight thousand, nine hundred forty-five".