10320084 has 36 divisors (see below), whose sum is σ = 26388180. Its totient is φ = 3400320.

The previous prime is 10320067. The next prime is 10320091. The reversal of 10320084 is 48002301.

10320084 = 102² + 103² + ... + 317².

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4928400 + 5391684 = 2220^2 + 2322^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1594 + ... + 4814.

It is an arithmetic number, because the mean of its divisors is an integer number (733005).

Almost surely, 2^10320084 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 10320084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13194090).

10320084 is an abundant number, since it is smaller than the sum of its proper divisors (16068096).

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

10320084 is a wasteful number, since it uses less digits than its factorization.

10320084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3320 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10320084 is about 3212.4887548441. The cubic root of 10320084 is about 217.7180373952.

Adding to 10320084 its reverse (48002301), we get a palindrome (58322385).

The spelling of 10320084 in words is "ten million, three hundred twenty thousand, eighty-four".