9657216 has 96 divisors (see below), whose sum is σ = 28402920. Its totient is φ = 3148800.

The previous prime is 9657211. The next prime is 9657233. The reversal of 9657216 is 6127569.

It is a tau number, because it is divible by the number of its divisors (96).

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

Its product of digits (22680) is a multiple of the sum of its prime divisors (189).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9657211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95566 + ... + 95666.

Almost surely, 2^9657216 is an apocalyptic number.

9657216 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 9657216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14201460).

9657216 is an abundant number, since it is smaller than the sum of its proper divisors (18745704).

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

9657216 is a wasteful number, since it uses less digits than its factorization.

9657216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 189 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 9657216 is about 3107.6061526519. The cubic root of 9657216 is about 212.9531074449.

The spelling of 9657216 in words is "nine million, six hundred fifty-seven thousand, two hundred sixteen".