268128 has 108 divisors (see below), whose sum is σ = 933660. Its totient is φ = 72576.

The previous prime is 268123. The next prime is 268133. The reversal of 268128 is 821862.

It is an interprime number because it is at equal distance from previous prime (268123) and next prime (268133).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268123) by changing a digit.

268128 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 (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14103 + ... + 14121.

It is an arithmetic number, because the mean of its divisors is an integer number (8645).

2²⁶⁸¹²⁸ is an apocalyptic number.

268128 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 268128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466830).

268128 is an abundant number, since it is smaller than the sum of its proper divisors (665532).

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

268128 is a wasteful number, since it uses less digits than its factorization.

268128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 31 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 268128 is about 517.8107762494. The cubic root of 268128 is about 64.4833200063.

The spelling of 268128 in words is "two hundred sixty-eight thousand, one hundred twenty-eight".