8705120 has 48 divisors (see below), whose sum is σ = 21083328. Its totient is φ = 3394560.

The previous prime is 8705111. The next prime is 8705149. The reversal of 8705120 is 215078.

It is a super-2 number, since 2×8705120² = 151558228428800, which contains 22 as substring.

It is a congruent number.

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, 5897 + ... + 7223.

It is an arithmetic number, because the mean of its divisors is an integer number (439236).

Almost surely, 2^8705120 is an apocalyptic number.

8705120 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 8705120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10541664).

8705120 is an abundant number, since it is smaller than the sum of its proper divisors (12378208).

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

8705120 is a wasteful number, since it uses less digits than its factorization.

8705120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 8705120 is about 2950.4440343786. Note that the first 3 decimals coincide. The cubic root of 8705120 is about 205.7113498993.

The spelling of 8705120 in words is "eight million, seven hundred five thousand, one hundred twenty".