9766500 has 96 divisors (see below), whose sum is σ = 30191616. Its totient is φ = 2444800.

The previous prime is 9766489. The next prime is 9766501. The reversal of 9766500 is 56679.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9766501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25309 + ... + 25691.

It is an arithmetic number, because the mean of its divisors is an integer number (314496).

Almost surely, 2^9766500 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 9766500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095808).

9766500 is an abundant number, since it is smaller than the sum of its proper divisors (20425116).

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

9766500 is a wasteful number, since it uses less digits than its factorization.

9766500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 9766500 is about 3125.1399968641. The cubic root of 9766500 is about 213.7533770541.

The spelling of 9766500 in words is "nine million, seven hundred sixty-six thousand, five hundred".