826812 has 72 divisors (see below), whose sum is σ = 2542176. Its totient is φ = 221184.

The previous prime is 826811. The next prime is 826831. The reversal of 826812 is 218628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4188 + ... + 4380.

It is an arithmetic number, because the mean of its divisors is an integer number (35308).

2⁸²⁶⁸¹² 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 826812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271088).

826812 is an abundant number, since it is smaller than the sum of its proper divisors (1715364).

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

826812 is a wasteful number, since it uses less digits than its factorization.

826812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 222 counting only the distinct ones).

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

The square root of 826812 is about 909.2920322977. The cubic root of 826812 is about 93.8574873818.

The spelling of 826812 in words is "eight hundred twenty-six thousand, eight hundred twelve".