268752 has 40 divisors (see below), whose sum is σ = 758880. Its totient is φ = 81280.

The previous prime is 268747. The next prime is 268757. The reversal of 268752 is 257862.

It is an interprime number because it is at equal distance from previous prime (268747) and next prime (268757).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268757) by changing a digit.

268752 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 7 ways as a sum of consecutive naturals, for example, 274 + ... + 782.

It is an arithmetic number, because the mean of its divisors is an integer number (18972).

268752 is a Friedman number, since it can be written as 86*5^(7-2)+2, using all its digits and the basic arithmetic operations.

2²⁶⁸⁷⁵² is an apocalyptic number.

268752 is a gapful number since it is divisible by the number (22) 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 268752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379440).

268752 is an abundant number, since it is smaller than the sum of its proper divisors (490128).

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

268752 is a wasteful number, since it uses less digits than its factorization.

268752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 525 counting only the distinct ones).

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

The square root of 268752 is about 518.4129628009. The cubic root of 268752 is about 64.5333041155.

It can be divided in two parts, 26 and 8752, that added together give a palindrome (8778).

The spelling of 268752 in words is "two hundred sixty-eight thousand, seven hundred fifty-two".