9375120 has 120 divisors (see below), whose sum is σ = 32643000. Its totient is φ = 2408448.

The previous prime is 9375083. The next prime is 9375127. The reversal of 9375120 is 215739.

It can be written as a sum of positive squares in 4 ways, for example, as 1354896 + 8020224 = 1164^2 + 2832^2 .

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

It is not an unprimeable number, because it can be changed into a prime (9375127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20656 + ... + 21104.

It is an arithmetic number, because the mean of its divisors is an integer number (272025).

Almost surely, 2^9375120 is an apocalyptic number.

9375120 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 9375120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16321500).

9375120 is an abundant number, since it is smaller than the sum of its proper divisors (23267880).

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

9375120 is a wasteful number, since it uses less digits than its factorization.

9375120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 9375120 is about 3061.8817743342. The cubic root of 9375120 is about 210.8590659831.

The spelling of 9375120 in words is "nine million, three hundred seventy-five thousand, one hundred twenty".