9971808 has 192 divisors, whose sum is σ = 34836480. Its totient is φ = 2419200.

The previous prime is 9971807. The next prime is 9971837. The reversal of 9971808 is 8081799.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 9971808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9971807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140413 + ... + 140483.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 2^9971808 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 9971808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

9971808 is an abundant number, since it is smaller than the sum of its proper divisors (24864672).

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

9971808 is a wasteful number, since it uses less digits than its factorization.

9971808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The square root of 9971808 is about 3157.8169674634. The cubic root of 9971808 is about 215.2408190375.

The spelling of 9971808 in words is "nine million, nine hundred seventy-one thousand, eight hundred eight".