8320338 has 72 divisors (see below), whose sum is σ = 20602764. Its totient is φ = 2410560.

The previous prime is 8320313. The next prime is 8320373. The reversal of 8320338 is 8330238.

8320338 is a `hidden beast` number, since 8 + 320 + 338 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8311689 + 8649 = 2883^2 + 93^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 224856 + ... + 224892.

Almost surely, 2^8320338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8320338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10301382).

8320338 is an abundant number, since it is smaller than the sum of its proper divisors (12282426).

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

8320338 is a wasteful number, since it uses less digits than its factorization.

8320338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 8320338 is about 2884.4996099844. The cubic root of 8320338 is about 202.6346247003.

The spelling of 8320338 in words is "eight million, three hundred twenty thousand, three hundred thirty-eight".