8379920 has 60 divisors (see below), whose sum is σ = 20316780. Its totient is φ = 3214080.

The previous prime is 8379911. The next prime is 8379923. The reversal of 8379920 is 299738.

It can be written as a sum of positive squares in 2 ways, for example, as 4443664 + 3936256 = 2108^2 + 1984^2 .

It is not an unprimeable number, because it can be changed into a prime (8379923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76826 + ... + 76934.

It is an arithmetic number, because the mean of its divisors is an integer number (338613).

Almost surely, 2^8379920 is an apocalyptic number.

8379920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8379920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10158390).

8379920 is an abundant number, since it is smaller than the sum of its proper divisors (11936860).

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

8379920 is a wasteful number, since it uses less digits than its factorization.

8379920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 8379920 is about 2894.8091474223. The cubic root of 8379920 is about 203.1171640370.

The spelling of 8379920 in words is "eight million, three hundred seventy-nine thousand, nine hundred twenty".