993344 has 56 divisors (see below), whose sum is σ = 2304288. Its totient is φ = 419840.

The previous prime is 993341. The next prime is 993367. The reversal of 993344 is 443399.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 993344.

It is not an unprimeable number, because it can be changed into a prime (993341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11927 + ... + 12009.

It is an arithmetic number, because the mean of its divisors is an integer number (41148).

2⁹⁹³³⁴⁴ 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 993344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152144).

993344 is an abundant number, since it is smaller than the sum of its proper divisors (1310944).

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

993344 is a wasteful number, since it uses less digits than its factorization.

993344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 113 counting only the distinct ones).

The product of its digits is 11664, while the sum is 32.

The square root of 993344 is about 996.6664437012. Note that the first 3 decimals coincide. The cubic root of 993344 is about 99.7776392568. Note that the first 3 decimals are identical.

Subtracting from 993344 its reverse (443399), we obtain a palindrome (549945).

It can be divided in two parts, 99 and 3344, that added together give a palindrome (3443).

The spelling of 993344 in words is "nine hundred ninety-three thousand, three hundred forty-four".