8017664 has 18 divisors (see below), whose sum is σ = 16004520. Its totient is φ = 4008704.

The previous prime is 8017661. The next prime is 8017697. The reversal of 8017664 is 4667108.

8017664 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 8017664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8017661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15404 + ... + 15915.

It is an arithmetic number, because the mean of its divisors is an integer number (889140).

Almost surely, 2^8017664 is an apocalyptic number.

It is an amenable number.

8017664 is a deficient number, since it is larger than the sum of its proper divisors (7986856).

8017664 is an equidigital number, since it uses as much as digits as its factorization.

8017664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31335 (or 31321 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 8017664 is about 2831.5479865261. The cubic root of 8017664 is about 200.1470917935.

The spelling of 8017664 in words is "eight million, seventeen thousand, six hundred sixty-four".