9983160 has 96 divisors (see below), whose sum is σ = 35408880. Its totient is φ = 2419200.

The previous prime is 9983153. The next prime is 9983161. The reversal of 9983160 is 613899.

9983160 = 313² + 314² + ... + 392².

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 (9983161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2700 + ... + 5220.

Almost surely, 2^9983160 is an apocalyptic number.

9983160 is a gapful number since it is divisible by the number (90) 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 9983160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17704440).

9983160 is an abundant number, since it is smaller than the sum of its proper divisors (25425720).

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

9983160 is a wasteful number, since it uses less digits than its factorization.

9983160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2549 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 9983160 is about 3159.6139004632. The cubic root of 9983160 is about 215.3224654538.

The spelling of 9983160 in words is "nine million, nine hundred eighty-three thousand, one hundred sixty".