9993648 has 80 divisors (see below), whose sum is σ = 30156800. Its totient is φ = 2850624.

The previous prime is 9993629. The next prime is 9993649. The reversal of 9993648 is 8463999.

It is a happy number.

9993648 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 9993597 and 9993606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9993649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16161 + ... + 16767.

It is an arithmetic number, because the mean of its divisors is an integer number (376960).

Almost surely, 2^9993648 is an apocalyptic number.

9993648 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9993648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15078400).

9993648 is an abundant number, since it is smaller than the sum of its proper divisors (20163152).

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

9993648 is a wasteful number, since it uses less digits than its factorization.

9993648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 619 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 9993648 is about 3161.2731612437. The cubic root of 9993648 is about 215.3978427774.

The spelling of 9993648 in words is "nine million, nine hundred ninety-three thousand, six hundred forty-eight".