268268 has 48 divisors (see below), whose sum is σ = 639744. Its totient is φ = 95040.

The previous prime is 268267. The next prime is 268271. The reversal of 268268 is 862862.

It is a happy number.

It is a d-powerful number, because it can be written as 2² + 6³ + 2¹⁸ + 8³ + 6⁴ + 8⁴ .

It is not an unprimeable number, because it can be changed into a prime (268267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3971 + ... + 4037.

It is an arithmetic number, because the mean of its divisors is an integer number (13328).

2²⁶⁸²⁶⁸ is an apocalyptic number.

268268 is a gapful number since it is divisible by the number (28) 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 268268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319872).

268268 is an abundant number, since it is smaller than the sum of its proper divisors (371476).

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

268268 is a wasteful number, since it uses less digits than its factorization.

268268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 100 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 268268 is about 517.9459431253. The cubic root of 268268 is about 64.4945411321.

The spelling of 268268 in words is "two hundred sixty-eight thousand, two hundred sixty-eight".