8330920 has 64 divisors (see below), whose sum is σ = 20779920. Its totient is φ = 2985984.

The previous prime is 8330893. The next prime is 8330923. The reversal of 8330920 is 290338.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2090916 + 6240004 = 1446^2 + 2498^2 .

It is not an unprimeable number, because it can be changed into a prime (8330923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19024 + ... + 19456.

Almost surely, 2^8330920 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 8330920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10389960).

8330920 is an abundant number, since it is smaller than the sum of its proper divisors (12449000).

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

8330920 is a wasteful number, since it uses less digits than its factorization.

8330920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 8330920 is about 2886.3333140855. Note that the first 4 decimals coincide. The cubic root of 8330920 is about 202.7204934551.

The spelling of 8330920 in words is "eight million, three hundred thirty thousand, nine hundred twenty".