261268 has 36 divisors (see below), whose sum is σ = 561792. Its totient is φ = 105840.

The previous prime is 261251. The next prime is 261271. The reversal of 261268 is 862162.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6055 + ... + 6097.

2²⁶¹²⁶⁸ is an apocalyptic number.

261268 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 261268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280896).

261268 is an abundant number, since it is smaller than the sum of its proper divisors (300524).

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

261268 is a wasteful number, since it uses less digits than its factorization.

261268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 83 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 261268 is about 511.1438153788. The cubic root of 261268 is about 63.9286313815.

It can be divided in two parts, 261 and 268, that added together give a square (529 = 23²).

The spelling of 261268 in words is "two hundred sixty-one thousand, two hundred sixty-eight".