8217664 has 112 divisors (see below), whose sum is σ = 21506688. Its totient is φ = 3022848.

The previous prime is 8217661. The next prime is 8217667. The reversal of 8217664 is 4667128.

It is an interprime number because it is at equal distance from previous prime (8217661) and next prime (8217667).

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 (34).

It is not an unprimeable number, because it can be changed into a prime (8217661) 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, 98967 + ... + 99049.

It is an arithmetic number, because the mean of its divisors is an integer number (192024).

Almost surely, 2^8217664 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 8217664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10753344).

8217664 is an abundant number, since it is smaller than the sum of its proper divisors (13289024).

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

8217664 is a wasteful number, since it uses less digits than its factorization.

8217664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 122 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 8217664 is about 2866.6468216367. The cubic root of 8217664 is about 201.7976603424.

The spelling of 8217664 in words is "eight million, two hundred seventeen thousand, six hundred sixty-four".