10082826 has 64 divisors (see below), whose sum is σ = 24675840. Its totient is φ = 3032640.

The previous prime is 10082803. The next prime is 10082837. The reversal of 10082826 is 62828001.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10082826.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37071 + ... + 37341.

It is an arithmetic number, because the mean of its divisors is an integer number (385560).

Almost surely, 2^10082826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10082826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337920).

10082826 is an abundant number, since it is smaller than the sum of its proper divisors (14593014).

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

10082826 is a wasteful number, since it uses less digits than its factorization.

10082826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

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

The square root of 10082826 is about 3175.3465952554. The cubic root of 10082826 is about 216.0366450173.

The spelling of 10082826 in words is "ten million, eighty-two thousand, eight hundred twenty-six".