9647952 has 60 divisors (see below), whose sum is σ = 25920960. Its totient is φ = 3092096.

The previous prime is 9647929. The next prime is 9647987. The reversal of 9647952 is 2597469.

It is a d-powerful number, because it can be written as 9⁷ + 6⁴ + 4³ + 7⁴ + 9⁷ + 5⁷ + 2⁷ .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40249 + ... + 40487.

It is an arithmetic number, because the mean of its divisors is an integer number (432016).

Almost surely, 2^9647952 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 9647952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12960480).

9647952 is an abundant number, since it is smaller than the sum of its proper divisors (16273008).

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

9647952 is a wasteful number, since it uses less digits than its factorization.

9647952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 273 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 9647952 is about 3106.1152586470. The cubic root of 9647952 is about 212.8849915839.

The spelling of 9647952 in words is "nine million, six hundred forty-seven thousand, nine hundred fifty-two".