826000056 has 144 divisors (see below), whose sum is σ = 2615315040. Its totient is φ = 234823680.

The previous prime is 826000031. The next prime is 826000061. The reversal of 826000056 is 650000628.

826000056 is a `hidden beast` number, since 8 + 2 + 600 + 0 + 0 + 56 = 666.

826000056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 825999993 and 826000029.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 906241 + ... + 907151.

It is an arithmetic number, because the mean of its divisors is an integer number (18161910).

Almost surely, 2^826000056 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 826000056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307657520).

826000056 is an abundant number, since it is smaller than the sum of its proper divisors (1789314984).

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

826000056 is a wasteful number, since it uses less digits than its factorization.

826000056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1180 counting only the distinct ones).

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

The square root of 826000056 is about 28740.2167006444. The cubic root of 826000056 is about 938.2675408217.

The spelling of 826000056 in words is "eight hundred twenty-six million, fifty-six", and thus it is an aban number.