826320 has 80 divisors (see below), whose sum is σ = 2803392. Its totient is φ = 199680.

The previous prime is 826313. The next prime is 826333. The reversal of 826320 is 23628.

826320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2484 + ... + 2796.

2⁸²⁶³²⁰ is an apocalyptic number.

826320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401696).

826320 is an abundant number, since it is smaller than the sum of its proper divisors (1977072).

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

826320 is a wasteful number, since it uses less digits than its factorization.

826320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 826320 is about 909.0214518921. The cubic root of 826320 is about 93.8388668465.

Adding to 826320 its reverse (23628), we get a palindrome (849948).

The spelling of 826320 in words is "eight hundred twenty-six thousand, three hundred twenty".