4089120 has 96 divisors (see below), whose sum is σ = 14732928. Its totient is φ = 933888.

The previous prime is 4089097. The next prime is 4089133. The reversal of 4089120 is 219804.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 2752 + ... + 3968.

It is an arithmetic number, because the mean of its divisors is an integer number (153468).

Almost surely, 2^4089120 is an apocalyptic number.

4089120 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 4089120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7366464).

4089120 is an abundant number, since it is smaller than the sum of its proper divisors (10643808).

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

4089120 is a wasteful number, since it uses less digits than its factorization.

4089120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 4089120 is about 2022.1572639140. The cubic root of 4089120 is about 159.9103664625.

The spelling of 4089120 in words is "four million, eighty-nine thousand, one hundred twenty".