9807952 has 80 divisors (see below), whose sum is σ = 24998400. Its totient is φ = 3611520.

The previous prime is 9807949. The next prime is 9807953. The reversal of 9807952 is 2597089.

It is a d-powerful number, because it can be written as 9⁷ + 8⁵ + 0 + 7² + 9⁷ + 5⁷ + 2¹⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9807953) 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, 23199 + ... + 23617.

It is an arithmetic number, because the mean of its divisors is an integer number (312480).

Almost surely, 2^9807952 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 9807952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499200).

9807952 is an abundant number, since it is smaller than the sum of its proper divisors (15190448).

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

9807952 is a wasteful number, since it uses less digits than its factorization.

9807952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 9807952 is about 3131.7649975693. The cubic root of 9807952 is about 214.0553616921.

The spelling of 9807952 in words is "nine million, eight hundred seven thousand, nine hundred fifty-two".