268320 has 96 divisors (see below), whose sum is σ = 931392. Its totient is φ = 64512.

The previous prime is 268297. The next prime is 268343. The reversal of 268320 is 23862.

It is an interprime number because it is at equal distance from previous prime (268297) and next prime (268343).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

268320 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 15 ways as a sum of consecutive naturals, for example, 6219 + ... + 6261.

It is an arithmetic number, because the mean of its divisors is an integer number (9702).

2²⁶⁸³²⁰ is an apocalyptic number.

268320 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 268320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465696).

268320 is an abundant number, since it is smaller than the sum of its proper divisors (663072).

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

268320 is a wasteful number, since it uses less digits than its factorization.

268320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 268320 is about 517.9961389817. The cubic root of 268320 is about 64.4987079845.

The spelling of 268320 in words is "two hundred sixty-eight thousand, three hundred twenty".