9605632 has 40 divisors (see below), whose sum is σ = 19531116. Its totient is φ = 4718592.

The previous prime is 9605627. The next prime is 9605639. The reversal of 9605632 is 2365069.

It can be written as a sum of positive squares in 2 ways, for example, as 8386816 + 1218816 = 2896^2 + 1104^2 .

It is a super-2 number, since 2×9605632² = 184536332238848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9605594 and 9605603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9605639) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37248 + ... + 37504.

Almost surely, 2^9605632 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 9605632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9765558).

9605632 is an abundant number, since it is smaller than the sum of its proper divisors (9925484).

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

9605632 is an equidigital number, since it uses as much as digits as its factorization.

9605632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 9605632 is about 3099.2954037975. The cubic root of 9605632 is about 212.5732674689.

The spelling of 9605632 in words is "nine million, six hundred five thousand, six hundred thirty-two".