275268 has 48 divisors (see below), whose sum is σ = 766080. Its totient is φ = 75264.

The previous prime is 275263. The next prime is 275269. The reversal of 275268 is 862572.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275263) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2380 + ... + 2492.

It is an arithmetic number, because the mean of its divisors is an integer number (15960).

2²⁷⁵²⁶⁸ is an apocalyptic number.

275268 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 275268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383040).

275268 is an abundant number, since it is smaller than the sum of its proper divisors (490812).

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

275268 is a wasteful number, since it uses less digits than its factorization.

275268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 154 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 275268 is about 524.6598898334. The cubic root of 275268 is about 65.0506902420.

The spelling of 275268 in words is "two hundred seventy-five thousand, two hundred sixty-eight".