9766656 has 108 divisors (see below), whose sum is σ = 29388632. Its totient is φ = 3234816.

The previous prime is 9766637. The next prime is 9766667. The reversal of 9766656 is 6566679.

It is a tau number, because it is divible by the number of its divisors (108).

Its product of digits (408240) is a multiple of the sum of its prime divisors (162).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

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 11 ways as a sum of consecutive naturals, for example, 62130 + ... + 62286.

Almost surely, 2^9766656 is an apocalyptic number.

9766656 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9766656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14694316).

9766656 is an abundant number, since it is smaller than the sum of its proper divisors (19621976).

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

9766656 is an equidigital number, since it uses as much as digits as its factorization.

9766656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 162 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 9766656 is about 3125.1649556463. The cubic root of 9766656 is about 213.7545151401.

The spelling of 9766656 in words is "nine million, seven hundred sixty-six thousand, six hundred fifty-six".