8085120 has 64 divisors (see below), whose sum is σ = 25777440. Its totient is φ = 2155520.

The previous prime is 8085109. The next prime is 8085137. The reversal of 8085120 is 215808.

8085120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186 + ... + 4025.

Almost surely, 2^8085120 is an apocalyptic number.

8085120 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 8085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12888720).

8085120 is an abundant number, since it is smaller than the sum of its proper divisors (17692320).

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

8085120 is a wasteful number, since it uses less digits than its factorization.

8085120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4233 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 8085120 is about 2843.4345429427. The cubic root of 8085120 is about 200.7068323308.

The spelling of 8085120 in words is "eight million, eighty-five thousand, one hundred twenty".