9785664 has 112 divisors (see below), whose sum is σ = 32918400. Its totient is φ = 2792448.

The previous prime is 9785663. The next prime is 9785669. The reversal of 9785664 is 4665879.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9785663) 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, 11692 + ... + 12500.

Almost surely, 2^9785664 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 9785664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16459200).

9785664 is an abundant number, since it is smaller than the sum of its proper divisors (23132736).

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

9785664 is a wasteful number, since it uses less digits than its factorization.

9785664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 821 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 9785664 is about 3128.2045968894. The cubic root of 9785664 is about 213.8930959337.

The spelling of 9785664 in words is "nine million, seven hundred eighty-five thousand, six hundred sixty-four".