9913968 has 80 divisors (see below), whose sum is σ = 29060640. Its totient is φ = 3234816.

The previous prime is 9913957. The next prime is 9913973. The reversal of 9913968 is 8693199.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

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 15 ways as a sum of consecutive naturals, for example, 22680 + ... + 23112.

It is an arithmetic number, because the mean of its divisors is an integer number (363258).

Almost surely, 2^9913968 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 9913968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14530320).

9913968 is an abundant number, since it is smaller than the sum of its proper divisors (19146672).

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

9913968 is a wasteful number, since it uses less digits than its factorization.

9913968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 491 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 9913968 is about 3148.6454230351. The cubic root of 9913968 is about 214.8238542841.

The spelling of 9913968 in words is "nine million, nine hundred thirteen thousand, nine hundred sixty-eight".