9980160 has 144 divisors (see below), whose sum is σ = 33554304. Its totient is φ = 2523136.

The previous prime is 9980153. The next prime is 9980167. The reversal of 9980160 is 610899.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9980153) and next prime (9980167).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9980167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88264 + ... + 88376.

It is an arithmetic number, because the mean of its divisors is an integer number (233016).

Almost surely, 2^9980160 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 9980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16777152).

9980160 is an abundant number, since it is smaller than the sum of its proper divisors (23574144).

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

9980160 is a wasteful number, since it uses less digits than its factorization.

9980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 9980160 is about 3159.1391232423. The cubic root of 9980160 is about 215.3008947250.

The spelling of 9980160 in words is "nine million, nine hundred eighty thousand, one hundred sixty".