9641664 has 84 divisors (see below), whose sum is σ = 29123640. Its totient is φ = 3041280.

The previous prime is 9641657. The next prime is 9641741. The reversal of 9641664 is 4661469.

9641664 is a `hidden beast` number, since 9 + 641 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10504 + ... + 11384.

It is an arithmetic number, because the mean of its divisors is an integer number (346710).

Almost surely, 2^9641664 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 9641664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14561820).

9641664 is an abundant number, since it is smaller than the sum of its proper divisors (19481976).

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

9641664 is a wasteful number, since it uses less digits than its factorization.

9641664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 905 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 9641664 is about 3105.1028968458. The cubic root of 9641664 is about 212.8387326561.

It can be divided in two parts, 964 and 1664, that added together give a triangular number (2628 = T₇₂).

The spelling of 9641664 in words is "nine million, six hundred forty-one thousand, six hundred sixty-four".