80268 has 12 divisors (see below), whose sum is σ = 187320. Its totient is φ = 26752.

The previous prime is 80263. The next prime is 80273. The reversal of 80268 is 86208.

It is an interprime number because it is at equal distance from previous prime (80263) and next prime (80273).

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (80263) by changing a digit.

80268 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 3 ways as a sum of consecutive naturals, for example, 3333 + ... + 3356.

It is an arithmetic number, because the mean of its divisors is an integer number (15610).

2⁸⁰²⁶⁸ is an apocalyptic number.

It is an amenable number.

80268 is an abundant number, since it is smaller than the sum of its proper divisors (107052).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93660).

80268 is a wasteful number, since it uses less digits than its factorization.

80268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6696 (or 6694 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 80268 is about 283.3160779059. The cubic root of 80268 is about 43.1367558793.

The spelling of 80268 in words is "eighty thousand, two hundred sixty-eight".