9766944 has 72 divisors (see below), whose sum is σ = 30309552. Its totient is φ = 2958720.

The previous prime is 9766937. The next prime is 9766951. The reversal of 9766944 is 4496679.

It is an interprime number because it is at equal distance from previous prime (9766937) and next prime (9766951).

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 9766944.

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, 1627 + ... + 4709.

It is an arithmetic number, because the mean of its divisors is an integer number (420966).

Almost surely, 2^9766944 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 9766944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15154776).

9766944 is an abundant number, since it is smaller than the sum of its proper divisors (20542608).

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

9766944 is a wasteful number, since it uses less digits than its factorization.

9766944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3110 (or 3099 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 9766944 is about 3125.2110328744. The cubic root of 9766944 is about 213.7566161900.

The spelling of 9766944 in words is "nine million, seven hundred sixty-six thousand, nine hundred forty-four".