9971840 has 32 divisors (see below), whose sum is σ = 23840460. Its totient is φ = 3988480.

The previous prime is 9971839. The next prime is 9971861. The reversal of 9971840 is 481799.

It can be written as a sum of positive squares in 2 ways, for example, as 9684544 + 287296 = 3112^2 + 536^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 9971794 and 9971803.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7151 + ... + 8430.

Almost surely, 2^9971840 is an apocalyptic number.

It is an amenable number.

9971840 is an abundant number, since it is smaller than the sum of its proper divisors (13868620).

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

9971840 is a wasteful number, since it uses less digits than its factorization.

9971840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15600 (or 15588 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 9971840 is about 3157.8220342508. The cubic root of 9971840 is about 215.2410492766.

The spelling of 9971840 in words is "nine million, nine hundred seventy-one thousand, eight hundred forty".