9657120 has 192 divisors, whose sum is σ = 34836480. Its totient is φ = 2227200.

The previous prime is 9657113. The next prime is 9657143. The reversal of 9657120 is 217569.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163651 + ... + 163709.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 2^9657120 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 9657120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

9657120 is an abundant number, since it is smaller than the sum of its proper divisors (25179360).

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

9657120 is a wasteful number, since it uses less digits than its factorization.

9657120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 9657120 is about 3107.5907066408. The cubic root of 9657120 is about 212.9524018044.

The spelling of 9657120 in words is "nine million, six hundred fifty-seven thousand, one hundred twenty".