9951968 has 48 divisors (see below), whose sum is σ = 21591360. Its totient is φ = 4486656.

The previous prime is 9951917. The next prime is 9951973. The reversal of 9951968 is 8691599.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19298 + ... + 19806.

It is an arithmetic number, because the mean of its divisors is an integer number (449820).

Almost surely, 2^9951968 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 9951968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10795680).

9951968 is an abundant number, since it is smaller than the sum of its proper divisors (11639392).

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

9951968 is a wasteful number, since it uses less digits than its factorization.

9951968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 571 counting only the distinct ones).

The product of its digits is 174960, while the sum is 47.

The square root of 9951968 is about 3154.6739926655. The cubic root of 9951968 is about 215.0979758971.

The spelling of 9951968 in words is "nine million, nine hundred fifty-one thousand, nine hundred sixty-eight".