8382920 has 128 divisors (see below), whose sum is σ = 24192000. Its totient is φ = 2596608.

The previous prime is 8382919. The next prime is 8382929. The reversal of 8382920 is 292838.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8382929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178337 + ... + 178383.

It is an arithmetic number, because the mean of its divisors is an integer number (189000).

Almost surely, 2^8382920 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 8382920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096000).

8382920 is an abundant number, since it is smaller than the sum of its proper divisors (15809080).

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

8382920 is a wasteful number, since it uses less digits than its factorization.

8382920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 8382920 is about 2895.3272699299. The cubic root of 8382920 is about 203.1413997015.

The spelling of 8382920 in words is "eight million, three hundred eighty-two thousand, nine hundred twenty".