275968 has 60 divisors (see below), whose sum is σ = 699732. Its totient is φ = 107520.

The previous prime is 275963. The next prime is 275969. The reversal of 275968 is 869572.

Its product of digits (30240) is a multiple of the sum of its prime divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25083 + ... + 25093.

2²⁷⁵⁹⁶⁸ is an apocalyptic number.

275968 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 275968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349866).

275968 is an abundant number, since it is smaller than the sum of its proper divisors (423764).

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

275968 is an equidigital number, since it uses as much as digits as its factorization.

275968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 20 counting only the distinct ones).

The product of its digits is 30240, while the sum is 37.

The square root of 275968 is about 525.3265651002. The cubic root of 275968 is about 65.1057843552.

It can be divided in two parts, 27 and 5968, that added together give a palindrome (5995).

The spelling of 275968 in words is "two hundred seventy-five thousand, nine hundred sixty-eight".