9687120 has 80 divisors (see below), whose sum is σ = 30331392. Its totient is φ = 2557440.

The previous prime is 9687109. The next prime is 9687137. The reversal of 9687120 is 217869.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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, 43329 + ... + 43551.

Almost surely, 2^9687120 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 9687120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15165696).

9687120 is an abundant number, since it is smaller than the sum of its proper divisors (20644272).

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

9687120 is a wasteful number, since it uses less digits than its factorization.

9687120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

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

The square root of 9687120 is about 3112.4138542295. The cubic root of 9687120 is about 213.1726872190.

The spelling of 9687120 in words is "nine million, six hundred eighty-seven thousand, one hundred twenty".