826056 has 96 divisors (see below), whose sum is σ = 2808000. Its totient is φ = 213120.

The previous prime is 826051. The next prime is 826061. The reversal of 826056 is 650628.

826056 = T₁₄₃ + T₁₄₄ + ... + T₁₉₈.

It is an interprime number because it is at equal distance from previous prime (826051) and next prime (826061).

It is not an unprimeable number, because it can be changed into a prime (826051) by changing a digit.

826056 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 23 ways as a sum of consecutive naturals, for example, 5470 + ... + 5618.

It is an arithmetic number, because the mean of its divisors is an integer number (29250).

2⁸²⁶⁰⁵⁶ 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 826056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404000).

826056 is an abundant number, since it is smaller than the sum of its proper divisors (1981944).

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

826056 is a wasteful number, since it uses less digits than its factorization.

826056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 826056 is about 908.8762291974. The cubic root of 826056 is about 93.8288722924.

The spelling of 826056 in words is "eight hundred twenty-six thousand, fifty-six".