9968112 has 240 divisors, whose sum is σ = 37140480. Its totient is φ = 2419200.

The previous prime is 9968053. The next prime is 9968113. The reversal of 9968112 is 2118699.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9968113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321537 + ... + 321567.

It is an arithmetic number, because the mean of its divisors is an integer number (154752).

Almost surely, 2^9968112 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 9968112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570240).

9968112 is an abundant number, since it is smaller than the sum of its proper divisors (27172368).

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

9968112 is a wasteful number, since it uses less digits than its factorization.

9968112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 83 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 9968112 is about 3157.2316988146. The cubic root of 9968112 is about 215.2142231125.

Subtracting from 9968112 its product of digits (7776), we obtain a square (9960336 = 3156²).

The spelling of 9968112 in words is "nine million, nine hundred sixty-eight thousand, one hundred twelve".