8001664 has 32 divisors (see below), whose sum is σ = 17393040. Its totient is φ = 3636480.

The previous prime is 8001661. The next prime is 8001667. The reversal of 8001664 is 4661008.

It is an interprime number because it is at equal distance from previous prime (8001661) and next prime (8001667).

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (8001661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1434 + ... + 4249.

Almost surely, 2^8001664 is an apocalyptic number.

It is an amenable number.

8001664 is an abundant number, since it is smaller than the sum of its proper divisors (9391376).

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

8001664 is a wasteful number, since it uses less digits than its factorization.

8001664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5708 (or 5696 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 8001664 is about 2828.7212658726. The cubic root of 8001664 is about 200.0138657054.

The spelling of 8001664 in words is "eight million, one thousand, six hundred sixty-four".