281268 has 36 divisors (see below), whose sum is σ = 766948. Its totient is φ = 86400.

The previous prime is 281251. The next prime is 281273. The reversal of 281268 is 862182.

281268 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in 2 ways, for example, as 138384 + 142884 = 372^2 + 378^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×281268² = 158223375648, which contains 22 as substring.

It is a zygodrome in base 5.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 281268.

It is an unprimeable number.

281268 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 11 ways as a sum of consecutive naturals, for example, 168 + ... + 768.

2²⁸¹²⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 281268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383474).

281268 is an abundant number, since it is smaller than the sum of its proper divisors (485680).

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

281268 is a wasteful number, since it uses less digits than its factorization.

281268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 619 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 281268 is about 530.3470561811. The cubic root of 281268 is about 65.5199325541.

It can be divided in two parts, 28 and 1268, that added together give a 4-th power (1296 = 6⁴).

The spelling of 281268 in words is "two hundred eighty-one thousand, two hundred sixty-eight".