268345 has 32 divisors (see below), whose sum is σ = 435456. Its totient is φ = 153600.

The previous prime is 268343. The next prime is 268403. The reversal of 268345 is 543862.

268345 = T₇₀ + T₇₁ + ... + T₁₂₄.

It is not a de Polignac number, because 268345 - 2¹ = 268343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (268343) 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 31 ways as a sum of consecutive naturals, for example, 6525 + ... + 6565.

It is an arithmetic number, because the mean of its divisors is an integer number (13608).

2²⁶⁸³⁴⁵ is an apocalyptic number.

It is an amenable number.

268345 is a deficient number, since it is larger than the sum of its proper divisors (167111).

268345 is a wasteful number, since it uses less digits than its factorization.

268345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81.

The product of its digits is 5760, while the sum is 28.

The square root of 268345 is about 518.0202698737. The cubic root of 268345 is about 64.5007110872.

The spelling of 268345 in words is "two hundred sixty-eight thousand, three hundred forty-five".