4421664 has 72 divisors (see below), whose sum is σ = 13552812. Its totient is φ = 1359360.

The previous prime is 4421653. The next prime is 4421671. The reversal of 4421664 is 4661244.

It can be written as a sum of positive squares in 2 ways, for example, as 4410000 + 11664 = 2100^2 + 108^2 .

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

It is a super-2 number, since 2×4421664² = 39102225057792, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3154 + ... + 4334.

Almost surely, 2^4421664 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 4421664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6776406).

4421664 is an abundant number, since it is smaller than the sum of its proper divisors (9131148).

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

4421664 is a wasteful number, since it uses less digits than its factorization.

4421664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1199 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4421664 is about 2102.7753089667. The cubic root of 4421664 is about 164.1327499426.

The spelling of 4421664 in words is "four million, four hundred twenty-one thousand, six hundred sixty-four".