268812 has 48 divisors (see below), whose sum is σ = 739200. Its totient is φ = 84240.

The previous prime is 268811. The next prime is 268813. The reversal of 268812 is 218862.

268812 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (268811) and next prime (268813).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (268811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1987 + ... + 2117.

It is an arithmetic number, because the mean of its divisors is an integer number (15400).

2²⁶⁸⁸¹² 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 268812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369600).

268812 is an abundant number, since it is smaller than the sum of its proper divisors (470388).

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

268812 is a wasteful number, since it uses less digits than its factorization.

268812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 155 counting only the distinct ones).

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

The square root of 268812 is about 518.4708284947. The cubic root of 268812 is about 64.5381062009.

The spelling of 268812 in words is "two hundred sixty-eight thousand, eight hundred twelve".