9788160 has 72 divisors (see below), whose sum is σ = 31273200. Its totient is φ = 2609152.

The previous prime is 9788153. The next prime is 9788171. The reversal of 9788160 is 618879.

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, 2566 + ... + 5114.

It is an arithmetic number, because the mean of its divisors is an integer number (434350).

Almost surely, 2^9788160 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 9788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15636600).

9788160 is an abundant number, since it is smaller than the sum of its proper divisors (21485040).

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

9788160 is a wasteful number, since it uses less digits than its factorization.

9788160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 9788160 is about 3128.6035223403. The cubic root of 9788160 is about 213.9112800781.

The spelling of 9788160 in words is "nine million, seven hundred eighty-eight thousand, one hundred sixty".