9952768 has 40 divisors (see below), whose sum is σ = 22735152. Its totient is φ = 4263936.

The previous prime is 9952757. The next prime is 9952793. The reversal of 9952768 is 8672599.

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 3 ways as a sum of consecutive naturals, for example, 2196 + ... + 4972.

Almost surely, 2^9952768 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 9952768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11367576).

9952768 is an abundant number, since it is smaller than the sum of its proper divisors (12782384).

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

9952768 is an equidigital number, since it uses as much as digits as its factorization.

9952768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802 (or 2786 counting only the distinct ones).

The product of its digits is 272160, while the sum is 46.

The square root of 9952768 is about 3154.8007861036. The cubic root of 9952768 is about 215.1037393725.

The spelling of 9952768 in words is "nine million, nine hundred fifty-two thousand, seven hundred sixty-eight".