268064 has 12 divisors (see below), whose sum is σ = 527814. Its totient is φ = 134016.

The previous prime is 268063. The next prime is 268069. The reversal of 268064 is 460862.

It can be written as a sum of positive squares in only one way, i.e., 258064 + 10000 = 508^2 + 100^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 268064.

It is not an unprimeable number, because it can be changed into a prime (268063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4157 + ... + 4220.

2²⁶⁸⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

268064 is a deficient number, since it is larger than the sum of its proper divisors (259750).

268064 is an equidigital number, since it uses as much as digits as its factorization.

268064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8387 (or 8379 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 268064 is about 517.7489739246. The cubic root of 268064 is about 64.4781890479.

It can be divided in two parts, 2680 and 64, that added together give a cube (2744 = 14³).

The spelling of 268064 in words is "two hundred sixty-eight thousand, sixty-four".