4133664 has 72 divisors (see below), whose sum is σ = 12160512. Its totient is φ = 1330560.

The previous prime is 4133663. The next prime is 4133693. The reversal of 4133664 is 4663314.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4133663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8697 + ... + 9159.

It is an arithmetic number, because the mean of its divisors is an integer number (168896).

Almost surely, 2^4133664 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 4133664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6080256).

4133664 is an abundant number, since it is smaller than the sum of its proper divisors (8026848).

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

4133664 is a wasteful number, since it uses less digits than its factorization.

4133664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 499 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 4133664 is about 2033.1414117075. The cubic root of 4133664 is about 160.4889211207.

Adding to 4133664 its reverse (4663314), we get a palindrome (8796978).

The spelling of 4133664 in words is "four million, one hundred thirty-three thousand, six hundred sixty-four".