8481664 has 64 divisors (see below), whose sum is σ = 18311040. Its totient is φ = 3902976.

The previous prime is 8481661. The next prime is 8481673. The reversal of 8481664 is 4661848.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8481661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126559 + ... + 126625.

It is an arithmetic number, because the mean of its divisors is an integer number (286110).

Almost surely, 2^8481664 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 8481664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9155520).

8481664 is an abundant number, since it is smaller than the sum of its proper divisors (9829376).

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

8481664 is a wasteful number, since it uses less digits than its factorization.

8481664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 8481664 is about 2912.3296516706. The cubic root of 8481664 is about 203.9359019434.

The spelling of 8481664 in words is "eight million, four hundred eighty-one thousand, six hundred sixty-four".