9504605140 has 96 divisors (see below), whose sum is σ = 21931529760. Its totient is φ = 3445161984.

The previous prime is 9504605137. The next prime is 9504605153. The reversal of 9504605140 is 415064059.

It can be written as a sum of positive squares in 16 ways, for example, as 43930384 + 9460674756 = 6628^2 + 97266^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 9504605096 and 9504605105.

It is a congruent number.

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, 1216366 + ... + 1224154.

It is an arithmetic number, because the mean of its divisors is an integer number (228453435).

Almost surely, 2^9504605140 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 9504605140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10965764880).

9504605140 is an abundant number, since it is smaller than the sum of its proper divisors (12426924620).

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

9504605140 is a wasteful number, since it uses less digits than its factorization.

9504605140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7949 (or 7947 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 9504605140 is about 97491.5644555979. The cubic root of 9504605140 is about 2118.2539572068.

Adding to 9504605140 its reverse (415064059), we get a palindrome (9919669199).

The spelling of 9504605140 in words is "nine billion, five hundred four million, six hundred five thousand, one hundred forty".