4164012 has 72 divisors (see below), whose sum is σ = 11321856. Its totient is φ = 1287264.

The previous prime is 4164007. The next prime is 4164019. The reversal of 4164012 is 2104614.

It is a super-2 number, since 2×4164012² = 34677991872288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4164019) 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 23 ways as a sum of consecutive naturals, for example, 38863 + ... + 38969.

It is an arithmetic number, because the mean of its divisors is an integer number (157248).

Almost surely, 2^4164012 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 4164012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660928).

4164012 is an abundant number, since it is smaller than the sum of its proper divisors (7157844).

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

4164012 is a wasteful number, since it uses less digits than its factorization.

4164012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 182 counting only the distinct ones).

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

The square root of 4164012 is about 2040.5910908362. The cubic root of 4164012 is about 160.8807161409.

Adding to 4164012 its reverse (2104614), we get a palindrome (6268626).

The spelling of 4164012 in words is "four million, one hundred sixty-four thousand, twelve".