9716160 has 112 divisors (see below), whose sum is σ = 32004000. Its totient is φ = 2494464.

The previous prime is 9716153. The next prime is 9716167. The reversal of 9716160 is 616179.

It is an interprime number because it is at equal distance from previous prime (9716153) and next prime (9716167).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9716167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27666 + ... + 28014.

It is an arithmetic number, because the mean of its divisors is an integer number (285750).

Almost surely, 2^9716160 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 9716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16002000).

9716160 is an abundant number, since it is smaller than the sum of its proper divisors (22287840).

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

9716160 is a wasteful number, since it uses less digits than its factorization.

9716160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 9716160 is about 3117.0755525011. The cubic root of 9716160 is about 213.3854907193.

The spelling of 9716160 in words is "nine million, seven hundred sixteen thousand, one hundred sixty".