9902160 has 120 divisors (see below), whose sum is σ = 35254440. Its totient is φ = 2482176.

The previous prime is 9902153. The next prime is 9902183. The reversal of 9902160 is 612099.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3968064 + 5934096 = 1992^2 + 2436^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11836 + ... + 12644.

It is an arithmetic number, because the mean of its divisors is an integer number (293787).

Almost surely, 2^9902160 is an apocalyptic number.

9902160 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 9902160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17627220).

9902160 is an abundant number, since it is smaller than the sum of its proper divisors (25352280).

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

9902160 is a wasteful number, since it uses less digits than its factorization.

9902160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 9902160 is about 3146.7697723221. The cubic root of 9902160 is about 214.7385319784.

The spelling of 9902160 in words is "nine million, nine hundred two thousand, one hundred sixty".