9534960 has 240 divisors, whose sum is σ = 36560160. Its totient is φ = 2211840.

The previous prime is 9534953. The next prime is 9534961. The reversal of 9534960 is 694359.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9534961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232540 + ... + 232580.

It is an arithmetic number, because the mean of its divisors is an integer number (152334).

Almost surely, 2^9534960 is an apocalyptic number.

9534960 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 9534960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280080).

9534960 is an abundant number, since it is smaller than the sum of its proper divisors (27025200).

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

9534960 is a wasteful number, since it uses less digits than its factorization.

9534960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 9534960 is about 3087.8730543855. The cubic root of 9534960 is about 212.0506583580.

The spelling of 9534960 in words is "nine million, five hundred thirty-four thousand, nine hundred sixty".