826336 has 72 divisors (see below), whose sum is σ = 2068416. Its totient is φ = 322560.

The previous prime is 826333. The next prime is 826339. The reversal of 826336 is 633628.

826336 is digitally balanced in base 2, 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 (826333) and next prime (826339).

It is a Harshad number since it is a multiple of its sum of digits (28).

Its product of digits (5184) is a multiple of the sum of its prime factors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26641 + ... + 26671.

It is an arithmetic number, because the mean of its divisors is an integer number (28728).

2⁸²⁶³³⁶ 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 826336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034208).

826336 is an abundant number, since it is smaller than the sum of its proper divisors (1242080).

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

826336 is a wasteful number, since it uses less digits than its factorization.

826336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 57 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 826336 is about 909.0302525219. The cubic root of 826336 is about 93.8394725086.

The spelling of 826336 in words is "eight hundred twenty-six thousand, three hundred thirty-six".