9636640 has 96 divisors (see below), whose sum is σ = 25338096. Its totient is φ = 3440640.

The previous prime is 9636631. The next prime is 9636673. The reversal of 9636640 is 466369.

It can be written as a sum of positive squares in 8 ways, for example, as 76176 + 9560464 = 276^2 + 3092^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9636596 and 9636605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85224 + ... + 85336.

Almost surely, 2^9636640 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 9636640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12669048).

9636640 is an abundant number, since it is smaller than the sum of its proper divisors (15701456).

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

9636640 is a wasteful number, since it uses less digits than its factorization.

9636640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 9636640 is about 3104.2938005286. The cubic root of 9636640 is about 212.8017581403.

The spelling of 9636640 in words is "nine million, six hundred thirty-six thousand, six hundred forty".