4181664 has 48 divisors (see below), whose sum is σ = 11243232. Its totient is φ = 1360128.

The previous prime is 4181657. The next prime is 4181669. The reversal of 4181664 is 4661814.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4181669) 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 7 ways as a sum of consecutive naturals, for example, 3622 + ... + 4634.

It is an arithmetic number, because the mean of its divisors is an integer number (234234).

Almost surely, 2^4181664 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 4181664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5621616).

4181664 is an abundant number, since it is smaller than the sum of its proper divisors (7061568).

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

4181664 is a wasteful number, since it uses less digits than its factorization.

4181664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1061 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 4181664 is about 2044.9117340365. The cubic root of 4181664 is about 161.1077298097.

The spelling of 4181664 in words is "four million, one hundred eighty-one thousand, six hundred sixty-four".