8329640 has 48 divisors (see below), whose sum is σ = 20612340. Its totient is φ = 3027200.

The previous prime is 8329637. The next prime is 8329661. The reversal of 8329640 is 469238.

It can be written as a sum of positive squares in 2 ways, for example, as 8305924 + 23716 = 2882^2 + 154^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8329597 and 8329606.

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, 3980 + ... + 5700.

Almost surely, 2^8329640 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 8329640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10306170).

8329640 is an abundant number, since it is smaller than the sum of its proper divisors (12282700).

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

8329640 is a wasteful number, since it uses less digits than its factorization.

8329640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 8329640 is about 2886.1115709549. Note that the first 3 decimals coincide. The cubic root of 8329640 is about 202.7101106274.

The spelling of 8329640 in words is "eight million, three hundred twenty-nine thousand, six hundred forty".