4188120 has 64 divisors (see below), whose sum is σ = 13309920. Its totient is φ = 1050624.

The previous prime is 4188101. The next prime is 4188127. The reversal of 4188120 is 218814.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4188127) 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, 1014 + ... + 3066.

Almost surely, 2^4188120 is an apocalyptic number.

4188120 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 4188120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6654960).

4188120 is an abundant number, since it is smaller than the sum of its proper divisors (9121800).

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

4188120 is a wasteful number, since it uses less digits than its factorization.

4188120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 4188120 is about 2046.4896774721. The cubic root of 4188120 is about 161.1905976738.

The spelling of 4188120 in words is "four million, one hundred eighty-eight thousand, one hundred twenty".