4189120 has 112 divisors (see below), whose sum is σ = 11521440. Its totient is φ = 1437696.

The previous prime is 4189117. The next prime is 4189121. The reversal of 4189120 is 219814.

It is a happy number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4189121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79014 + ... + 79066.

It is an arithmetic number, because the mean of its divisors is an integer number (102870).

Almost surely, 2^4189120 is an apocalyptic number.

4189120 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 4189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760720).

4189120 is an abundant number, since it is smaller than the sum of its proper divisors (7332320).

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

4189120 is a wasteful number, since it uses less digits than its factorization.

4189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 4189120 is about 2046.7339836921. The cubic root of 4189120 is about 161.2034258457.

The spelling of 4189120 in words is "four million, one hundred eighty-nine thousand, one hundred twenty".