4106180 has 48 divisors (see below), whose sum is σ = 9843120. Its totient is φ = 1425408.

The previous prime is 4106161. The next prime is 4106189. The reversal of 4106180 is 816014.

It can be written as a sum of positive squares in 8 ways, for example, as 749956 + 3356224 = 866^2 + 1832^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3956 + ... + 4884.

It is an arithmetic number, because the mean of its divisors is an integer number (205065).

Almost surely, 2^4106180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4106180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4921560).

4106180 is an abundant number, since it is smaller than the sum of its proper divisors (5736940).

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

4106180 is a wasteful number, since it uses less digits than its factorization.

4106180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 4106180 is about 2026.3711407341. The cubic root of 4106180 is about 160.1324424219.

The spelling of 4106180 in words is "four million, one hundred six thousand, one hundred eighty".