812268 has 60 divisors (see below), whose sum is σ = 2236080. Its totient is φ = 256608.

The previous prime is 812267. The next prime is 812281. The reversal of 812268 is 862218.

812268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (812267) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7398 + ... + 7506.

It is an arithmetic number, because the mean of its divisors is an integer number (37268).

2⁸¹²²⁶⁸ 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 812268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118040).

812268 is an abundant number, since it is smaller than the sum of its proper divisors (1423812).

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

812268 is a wasteful number, since it uses less digits than its factorization.

812268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

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

The square root of 812268 is about 901.2591192326. The cubic root of 812268 is about 93.3038966125.

The spelling of 812268 in words is "eight hundred twelve thousand, two hundred sixty-eight".