4164120 has 96 divisors (see below), whose sum is σ = 13899600. Its totient is φ = 1080576.

The previous prime is 4164107. The next prime is 4164131. The reversal of 4164120 is 214614.

4164120 is a `hidden beast` number, since 4 + 1 + 641 + 20 = 666.

4164120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 4164093 and 4164102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15346 + ... + 15614.

Almost surely, 2^4164120 is an apocalyptic number.

4164120 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 4164120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949800).

4164120 is an abundant number, since it is smaller than the sum of its proper divisors (9735480).

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

4164120 is a wasteful number, since it uses less digits than its factorization.

4164120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 322 counting only the distinct ones).

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

The square root of 4164120 is about 2040.6175535852. The cubic root of 4164120 is about 160.8821070244.

Adding to 4164120 its reverse (214614), we get a palindrome (4378734).

The spelling of 4164120 in words is "four million, one hundred sixty-four thousand, one hundred twenty".