9872160 has 96 divisors (see below), whose sum is σ = 31534272. Its totient is φ = 2595840.

The previous prime is 9872131. The next prime is 9872171. The reversal of 9872160 is 612789.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62802 + ... + 62958.

It is an arithmetic number, because the mean of its divisors is an integer number (328482).

Almost surely, 2^9872160 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 9872160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15767136).

9872160 is an abundant number, since it is smaller than the sum of its proper divisors (21662112).

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

9872160 is a wasteful number, since it uses less digits than its factorization.

9872160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 9872160 is about 3141.9993634627. Note that the first 3 decimals coincide. The cubic root of 9872160 is about 214.5214523130.

The spelling of 9872160 in words is "nine million, eight hundred seventy-two thousand, one hundred sixty".