9693936 has 120 divisors (see below), whose sum is σ = 31724160. Its totient is φ = 2706048.

The previous prime is 9693913. The next prime is 9693947. The reversal of 9693936 is 6393969.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

Its product of digits (236196) is a multiple of the sum of its prime factors (243).

It is a junction number, because it is equal to n+sod(n) for n = 9693891 and 9693900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59391 + ... + 59553.

It is an arithmetic number, because the mean of its divisors is an integer number (264368).

Almost surely, 2^9693936 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 9693936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15862080).

9693936 is an abundant number, since it is smaller than the sum of its proper divisors (22030224).

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

9693936 is a wasteful number, since it uses less digits than its factorization.

9693936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 234 counting only the distinct ones).

The product of its digits is 236196, while the sum is 45.

The square root of 9693936 is about 3113.5086317529. The cubic root of 9693936 is about 213.2226726425. Note that the first 3 decimals are identical.

The spelling of 9693936 in words is "nine million, six hundred ninety-three thousand, nine hundred thirty-six".