8441664 has 112 divisors (see below), whose sum is σ = 27895296. Its totient is φ = 2188800.

The previous prime is 8441663. The next prime is 8441669. The reversal of 8441664 is 4661448.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 (8441663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14499 + ... + 15069.

Almost surely, 2^8441664 is an apocalyptic number.

8441664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13947648).

8441664 is an abundant number, since it is smaller than the sum of its proper divisors (19453632).

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

8441664 is a wasteful number, since it uses less digits than its factorization.

8441664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 594 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 8441664 is about 2905.4541813630. The cubic root of 8441664 is about 203.6148056183.

The spelling of 8441664 in words is "eight million, four hundred forty-one thousand, six hundred sixty-four".