10820826 has 24 divisors (see below), whose sum is σ = 23778144. Its totient is φ = 3555720.

The previous prime is 10820819. The next prime is 10820881. The reversal of 10820826 is 62802801.

10820826 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10820826.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2956 + ... + 5511.

It is an arithmetic number, because the mean of its divisors is an integer number (990756).

Almost surely, 2^10820826 is an apocalyptic number.

10820826 is an abundant number, since it is smaller than the sum of its proper divisors (12957318).

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

10820826 is a wasteful number, since it uses less digits than its factorization.

10820826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8546 (or 8543 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10820826 is about 3289.5023939800. The cubic root of 10820826 is about 221.1838795045.

It can be divided in two parts, 10 and 820826, that added together give a square (820836 = 906²).

The spelling of 10820826 in words is "ten million, eight hundred twenty thousand, eight hundred twenty-six".