4085120 has 64 divisors (see below), whose sum is σ = 10538640. Its totient is φ = 1505280.

The previous prime is 4085119. The next prime is 4085167. The reversal of 4085120 is 215804.

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 4085092 and 4085101.

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, 8075 + ... + 8565.

Almost surely, 2^4085120 is an apocalyptic number.

4085120 is a gapful number since it is divisible by the number (40) 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 4085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269320).

4085120 is an abundant number, since it is smaller than the sum of its proper divisors (6453520).

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

4085120 is a wasteful number, since it uses less digits than its factorization.

4085120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 4085120 is about 2021.1679791645. The cubic root of 4085120 is about 159.8582077139.

The spelling of 4085120 in words is "four million, eighty-five thousand, one hundred twenty".