9731085952 has 128 divisors (see below), whose sum is σ = 22996512000. Its totient is φ = 4013162496.

The previous prime is 9731085929. The next prime is 9731085953. The reversal of 9731085952 is 2595801379.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 9731085896 and 9731085905.

It is not an unprimeable number, because it can be changed into a prime (9731085953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12653824 + ... + 12654592.

It is an arithmetic number, because the mean of its divisors is an integer number (179660250).

Almost surely, 2^9731085952 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 9731085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11498256000).

9731085952 is an abundant number, since it is smaller than the sum of its proper divisors (13265426048).

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

9731085952 is a wasteful number, since it uses less digits than its factorization.

9731085952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 49.

The square root of 9731085952 is about 98646.2667920079. The cubic root of 9731085952 is about 2134.9470231669.

The spelling of 9731085952 in words is "nine billion, seven hundred thirty-one million, eighty-five thousand, nine hundred fifty-two".