268960 has 36 divisors (see below), whose sum is σ = 651294. Its totient is φ = 104960.

The previous prime is 268937. The next prime is 268969. The reversal of 268960 is 69862.

268960 is nontrivially palindromic in base 3 and base 9.

It can be written as a sum of positive squares in 3 ways, for example, as 71824 + 197136 = 268^2 + 444^2 .

It is a zygodrome in base 3, base 7 and base 9.

It is not an unprimeable number, because it can be changed into a prime (268969) by changing a digit.

268960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6540 + ... + 6580.

2²⁶⁸⁹⁶⁰ is an apocalyptic number.

268960 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 268960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325647).

268960 is an abundant number, since it is smaller than the sum of its proper divisors (382334).

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

268960 is an equidigital number, since it uses as much as digits as its factorization.

268960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 268960 is about 518.6135362676. The cubic root of 268960 is about 64.5499482904.

The spelling of 268960 in words is "two hundred sixty-eight thousand, nine hundred sixty".