268260 has 48 divisors (see below), whose sum is σ = 798336. Its totient is φ = 67072.

The previous prime is 268253. The next prime is 268267. The reversal of 268260 is 62862.

It is an interprime number because it is at equal distance from previous prime (268253) and next prime (268267).

It is a self number, because there is not a number n which added to its sum of digits gives 268260.

It is a congruent number.

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

268260 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 889 + ... + 1151.

It is an arithmetic number, because the mean of its divisors is an integer number (16632).

2²⁶⁸²⁶⁰ is an apocalyptic number.

268260 is a gapful number since it is divisible by the number (20) 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 268260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399168).

268260 is an abundant number, since it is smaller than the sum of its proper divisors (530076).

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

268260 is a wasteful number, since it uses less digits than its factorization.

268260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 268260 is about 517.9382202541. The cubic root of 268260 is about 64.4939000301.

It can be divided in two parts, 268 and 260, that added together give a triangular number (528 = T₃₂).

The spelling of 268260 in words is "two hundred sixty-eight thousand, two hundred sixty".