9971632 has 40 divisors (see below), whose sum is σ = 21494160. Its totient is φ = 4442880.

The previous prime is 9971603. The next prime is 9971641. The reversal of 9971632 is 2361799.

It is a junction number, because it is equal to n+sod(n) for n = 9971591 and 9971600.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8794 + ... + 9862.

It is an arithmetic number, because the mean of its divisors is an integer number (537354).

Almost surely, 2^9971632 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 9971632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10747080).

9971632 is an abundant number, since it is smaller than the sum of its proper divisors (11522528).

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

9971632 is a wasteful number, since it uses less digits than its factorization.

9971632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1135 counting only the distinct ones).

The product of its digits is 20412, while the sum is 37.

The square root of 9971632 is about 3157.7890999875. The cubic root of 9971632 is about 215.2395527139.

The spelling of 9971632 in words is "nine million, nine hundred seventy-one thousand, six hundred thirty-two".