9766224 has 160 divisors (see below), whose sum is σ = 31664640. Its totient is φ = 2861568.

The previous prime is 9766223. The next prime is 9766231. The reversal of 9766224 is 4226679.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9766223) 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, 207769 + ... + 207815.

It is an arithmetic number, because the mean of its divisors is an integer number (197904).

Almost surely, 2^9766224 is an apocalyptic number.

9766224 is a gapful number since it is divisible by the number (94) 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 9766224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15832320).

9766224 is an abundant number, since it is smaller than the sum of its proper divisors (21898416).

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

9766224 is a wasteful number, since it uses less digits than its factorization.

9766224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 9766224 is about 3125.0958385304. The cubic root of 9766224 is about 213.7513634878.

The spelling of 9766224 in words is "nine million, seven hundred sixty-six thousand, two hundred twenty-four".