9540 has 36 divisors (see below), whose sum is σ = 29484. Its totient is φ = 2496.

The previous prime is 9539. The next prime is 9547. The reversal of 9540 is 459.

It can be written as a sum of positive squares in 2 ways, for example, as 5184 + 4356 = 72^2 + 66^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a plaindrome in base 13.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154 + ... + 206.

It is an arithmetic number, because the mean of its divisors is an integer number (819).

2⁹⁵⁴⁰ is an apocalyptic number.

9540 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 9540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742).

9540 is an abundant number, since it is smaller than the sum of its proper divisors (19944).

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

9540 is a wasteful number, since it uses less digits than its factorization.

9540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 9540 is about 97.6729235766. The cubic root of 9540 is about 21.2088013770.

Adding to 9540 its reverse (459), we get a palindrome (9999).

The spelling of 9540 in words is "nine thousand, five hundred forty".