268544 has 18 divisors (see below), whose sum is σ = 536550. Its totient is φ = 134144.

The previous prime is 268537. The next prime is 268547. The reversal of 268544 is 445862.

It can be written as a sum of positive squares in only one way, i.e., 262144 + 6400 = 512^2 + 80^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 268544.

It is not an unprimeable number, because it can be changed into a prime (268547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 269 + ... + 780.

268544 is a Friedman number, since it can be written as 8^6+5^2*4^4, using all its digits and the basic arithmetic operations.

2²⁶⁸⁵⁴⁴ is an apocalyptic number.

It is an amenable number.

268544 is a deficient number, since it is larger than the sum of its proper divisors (268006).

268544 is an equidigital number, since it uses as much as digits as its factorization.

268544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1051 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

The square root of 268544 is about 518.2123117025. The cubic root of 268544 is about 64.5166513506.

It can be divided in two parts, 26854 and 4, that multiplied together give a triangular number (107416 = T₄₆₃).

The spelling of 268544 in words is "two hundred sixty-eight thousand, five hundred forty-four".