9631872 has 80 divisors (see below), whose sum is σ = 28695150. Its totient is φ = 3207168.

The previous prime is 9631859. The next prime is 9631873. The reversal of 9631872 is 2781369.

It can be written as a sum of positive squares in only one way, i.e., 9585216 + 46656 = 3096^2 + 216^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9631873) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9904 + ... + 10832.

Almost surely, 2^9631872 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 9631872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14347575).

9631872 is an abundant number, since it is smaller than the sum of its proper divisors (19063278).

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

9631872 is an equidigital number, since it uses as much as digits as its factorization.

9631872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 934 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 9631872 is about 3103.5257369643. The cubic root of 9631872 is about 212.7666557889.

The spelling of 9631872 in words is "nine million, six hundred thirty-one thousand, eight hundred seventy-two".