268560 has 60 divisors (see below), whose sum is σ = 904332. Its totient is φ = 71424.

The previous prime is 268547. The next prime is 268573. The reversal of 268560 is 65862.

It is an interprime number because it is at equal distance from previous prime (268547) and next prime (268573).

It can be written as a sum of positive squares in 2 ways, for example, as 121104 + 147456 = 348^2 + 384^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

268560 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 (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 534 + ... + 906.

2²⁶⁸⁵⁶⁰ is an apocalyptic number.

268560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452166).

268560 is an abundant number, since it is smaller than the sum of its proper divisors (635772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

268560 is a wasteful number, since it uses less digits than its factorization.

268560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 268560 is about 518.2277491605. The cubic root of 268560 is about 64.5179326378.

It can be divided in two parts, 268 and 560, that added together give a palindrome (828).

The spelling of 268560 in words is "two hundred sixty-eight thousand, five hundred sixty".