9664000 has 80 divisors (see below), whose sum is σ = 24257376. Its totient is φ = 3840000.

The previous prime is 9663977. The next prime is 9664003. The reversal of 9664000 is 4669.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 5 and base 10.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9664003) 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, 63925 + ... + 64075.

Almost surely, 2^9664000 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 9664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12128688).

9664000 is an abundant number, since it is smaller than the sum of its proper divisors (14593376).

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

9664000 is an equidigital number, since it uses as much as digits as its factorization.

9664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 9664000 is about 3108.6974764361. The cubic root of 9664000 is about 213.0029608646.

Adding to 9664000 its reverse (4669), we get a palindrome (9668669).

The spelling of 9664000 in words is "nine million, six hundred sixty-four thousand".