9767216 has 40 divisors (see below), whose sum is σ = 20199600. Its totient is φ = 4574592.

The previous prime is 9767183. The next prime is 9767227. The reversal of 9767216 is 6127679.

It is a super-3 number, since 3×9767216³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 9767216.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109700 + ... + 109788.

It is an arithmetic number, because the mean of its divisors is an integer number (504990).

Almost surely, 2^9767216 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 9767216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10099800).

9767216 is an abundant number, since it is smaller than the sum of its proper divisors (10432384).

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

9767216 is an equidigital number, since it uses as much as digits as its factorization.

9767216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 110 counting only the distinct ones).

The product of its digits is 31752, while the sum is 38.

The square root of 9767216 is about 3125.2545496327. The cubic root of 9767216 is about 213.7586004770.

It can be divided in two parts, 976 and 7216, that added together give a 13-th power (8192 = 2¹³).

The spelling of 9767216 in words is "nine million, seven hundred sixty-seven thousand, two hundred sixteen".