8753664 has 80 divisors (see below), whose sum is σ = 24060960. Its totient is φ = 2826240.

The previous prime is 8753663. The next prime is 8753669. The reversal of 8753664 is 4663578.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8753663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62907 + ... + 63045.

It is an arithmetic number, because the mean of its divisors is an integer number (300762).

Almost surely, 2^8753664 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 8753664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12030480).

8753664 is an abundant number, since it is smaller than the sum of its proper divisors (15307296).

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

8753664 is a wasteful number, since it uses less digits than its factorization.

8753664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 185 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 8753664 is about 2958.6591557663. The cubic root of 8753664 is about 206.0930236230.

The spelling of 8753664 in words is "eight million, seven hundred fifty-three thousand, six hundred sixty-four".