826308 has 48 divisors (see below), whose sum is σ = 2450560. Its totient is φ = 235872.

The previous prime is 826303. The next prime is 826313. The reversal of 826308 is 803628.

826308 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 (826303) and next prime (826313).

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

It is an Ulam number.

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 826308.

It is not an unprimeable number, because it can be changed into a prime (826303) by changing a digit.

826308 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210 + ... + 1302.

2⁸²⁶³⁰⁸ 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 826308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225280).

826308 is an abundant number, since it is smaller than the sum of its proper divisors (1624252).

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

826308 is a wasteful number, since it uses less digits than its factorization.

826308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 826308 is about 909.0148513638. The cubic root of 826308 is about 93.8384125947.

Subtracting from 826308 its sum of digits (27), we obtain a square (826281 = 909²).

The spelling of 826308 in words is "eight hundred twenty-six thousand, three hundred eight".