9504160 has 48 divisors (see below), whose sum is σ = 22643712. Its totient is φ = 3769600.

The previous prime is 9504113. The next prime is 9504163. The reversal of 9504160 is 614059.

It is not an unprimeable number, because it can be changed into a prime (9504163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30405 + ... + 30715.

It is an arithmetic number, because the mean of its divisors is an integer number (471744).

Almost surely, 2^9504160 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 9504160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11321856).

9504160 is an abundant number, since it is smaller than the sum of its proper divisors (13139552).

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

9504160 is a wasteful number, since it uses less digits than its factorization.

9504160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 9504160 is about 3082.8817687352. The cubic root of 9504160 is about 211.8220887824.

The spelling of 9504160 in words is "nine million, five hundred four thousand, one hundred sixty".