4213664 has 48 divisors (see below), whose sum is σ = 10217088. Its totient is φ = 1665792.

The previous prime is 4213639. The next prime is 4213673. The reversal of 4213664 is 4663124.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2189 + ... + 3635.

It is an arithmetic number, because the mean of its divisors is an integer number (212856).

Almost surely, 2^4213664 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 4213664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5108544).

4213664 is an abundant number, since it is smaller than the sum of its proper divisors (6003424).

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

4213664 is a wasteful number, since it uses less digits than its factorization.

4213664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1469 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 4213664 is about 2052.7211208540. The cubic root of 4213664 is about 161.5176425754.

Adding to 4213664 its reverse (4663124), we get a palindrome (8876788).

The spelling of 4213664 in words is "four million, two hundred thirteen thousand, six hundred sixty-four".