268946 has 8 divisors (see below), whose sum is σ = 417420. Its totient is φ = 129808.

The previous prime is 268937. The next prime is 268969. The reversal of 268946 is 649862.

It can be written as a sum of positive squares in 2 ways, for example, as 265225 + 3721 = 515^2 + 61^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-5 number, since 5×268946⁵ (a number of 28 digits) contains 55555 as substring.

It is a nialpdrome in base 13.

It is an unprimeable number.

268946 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, 2261 + ... + 2376.

2²⁶⁸⁹⁴⁶ is an apocalyptic number.

268946 is a deficient number, since it is larger than the sum of its proper divisors (148474).

268946 is a wasteful number, since it uses less digits than its factorization.

268946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4668.

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

The square root of 268946 is about 518.6000385654. The cubic root of 268946 is about 64.5488282788.

The spelling of 268946 in words is "two hundred sixty-eight thousand, nine hundred forty-six".