8389120 has 80 divisors (see below), whose sum is σ = 20991960. Its totient is φ = 3211264.

The previous prime is 8389111. The next prime is 8389123. The reversal of 8389120 is 219838.

It can be written as a sum of positive squares in 4 ways, for example, as 4260096 + 4129024 = 2064^2 + 2032^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8389123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74184 + ... + 74296.

Almost surely, 2^8389120 is an apocalyptic number.

8389120 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 8389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10495980).

8389120 is an abundant number, since it is smaller than the sum of its proper divisors (12602840).

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

8389120 is a wasteful number, since it uses less digits than its factorization.

8389120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 8389120 is about 2896.3977627391. The cubic root of 8389120 is about 203.1914684247.

The spelling of 8389120 in words is "eight million, three hundred eighty-nine thousand, one hundred twenty".