9826000 has 80 divisors (see below), whose sum is σ = 25243920. Its totient is φ = 3699200.

The previous prime is 9825997. The next prime is 9826001. The reversal of 9826000 is 6289.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

9826000 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 8 ways, for example, as 2729104 + 7096896 = 1652^2 + 2664^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9826001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 577992 + ... + 578008.

It is an arithmetic number, because the mean of its divisors is an integer number (315549).

Almost surely, 2^9826000 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 9826000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12621960).

9826000 is an abundant number, since it is smaller than the sum of its proper divisors (15417920).

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

9826000 is an equidigital number, since it uses as much as digits as its factorization.

9826000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 9826000 is about 3134.6451154796. The cubic root of 9826000 is about 214.1865784821.

Multiplying 9826000 by its product of nonzero digits (864), we get a cube (8489664000 = 2040³).

The spelling of 9826000 in words is "nine million, eight hundred twenty-six thousand".