8717664 has 48 divisors (see below), whose sum is σ = 23224320. Its totient is φ = 2862720.

The previous prime is 8717633. The next prime is 8717677. The reversal of 8717664 is 4667178.

8717664 = T₂₇₇ + T₂₇₈ + ... + T₄₁₈.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6177 + ... + 7455.

It is an arithmetic number, because the mean of its divisors is an integer number (483840).

Almost surely, 2^8717664 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 8717664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160).

8717664 is an abundant number, since it is smaller than the sum of its proper divisors (14506656).

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

8717664 is a wasteful number, since it uses less digits than its factorization.

8717664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1355 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 8717664 is about 2952.5690508437. The cubic root of 8717664 is about 205.8101118807.

The spelling of 8717664 in words is "eight million, seven hundred seventeen thousand, six hundred sixty-four".