9993632 has 72 divisors (see below), whose sum is σ = 22623300. Its totient is φ = 4336640.

The previous prime is 9993629. The next prime is 9993649. The reversal of 9993632 is 2363999.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9759376 + 234256 = 3124^2 + 484^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9993632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112244 + ... + 112332.

Almost surely, 2^9993632 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 9993632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11311650).

9993632 is an abundant number, since it is smaller than the sum of its proper divisors (12629668).

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

9993632 is a wasteful number, since it uses less digits than its factorization.

9993632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its digits is 78732, while the sum is 41.

The square root of 9993632 is about 3161.2706306167. The cubic root of 9993632 is about 215.3977278255.

The spelling of 9993632 in words is "nine million, nine hundred ninety-three thousand, six hundred thirty-two".