8405664 has 24 divisors (see below), whose sum is σ = 22065120. Its totient is φ = 2801856.

The previous prime is 8405651. The next prime is 8405669. The reversal of 8405664 is 4665048.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (8405669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43684 + ... + 43875.

It is an arithmetic number, because the mean of its divisors is an integer number (919380).

Almost surely, 2^8405664 is an apocalyptic number.

It is an amenable number.

8405664 is an abundant number, since it is smaller than the sum of its proper divisors (13659456).

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

8405664 is a wasteful number, since it uses less digits than its factorization.

8405664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87572 (or 87564 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 8405664 is about 2899.2523174087. The cubic root of 8405664 is about 203.3249505338.

The spelling of 8405664 in words is "eight million, four hundred five thousand, six hundred sixty-four".