826344 has 48 divisors (see below), whose sum is σ = 2340000. Its totient is φ = 262944.

The previous prime is 826339. The next prime is 826349. The reversal of 826344 is 443628.

It is an interprime number because it is at equal distance from previous prime (826339) and next prime (826349).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826349) by changing a digit.

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, 1407 + ... + 1905.

It is an arithmetic number, because the mean of its divisors is an integer number (48750).

2⁸²⁶³⁴⁴ 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 826344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170000).

826344 is an abundant number, since it is smaller than the sum of its proper divisors (1513656).

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

826344 is a wasteful number, since it uses less digits than its factorization.

826344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 527 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 826344 is about 909.0346528048. The cubic root of 826344 is about 93.8397753367.

The spelling of 826344 in words is "eight hundred twenty-six thousand, three hundred forty-four".