4083120 has 120 divisors (see below), whose sum is σ = 14101776. Its totient is φ = 1058304.

The previous prime is 4083097. The next prime is 4083137. The reversal of 4083120 is 213804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4083093 and 4083102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38107 + ... + 38213.

Almost surely, 2^4083120 is an apocalyptic number.

4083120 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 4083120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050888).

4083120 is an abundant number, since it is smaller than the sum of its proper divisors (10018656).

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

4083120 is a wasteful number, since it uses less digits than its factorization.

4083120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4083120 is about 2020.6731551639. The cubic root of 4083120 is about 159.8321155709.

Adding to 4083120 its reverse (213804), we get a palindrome (4296924).

The spelling of 4083120 in words is "four million, eighty-three thousand, one hundred twenty".