993888 has 144 divisors (see below), whose sum is σ = 3538080. Its totient is φ = 258048.

The previous prime is 993887. The next prime is 993893. The reversal of 993888 is 888399.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 993888.

It is not an unprimeable number, because it can be changed into a prime (993887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34258 + ... + 34286.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2⁹⁹³⁸⁸⁸ 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 993888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769040).

993888 is an abundant number, since it is smaller than the sum of its proper divisors (2544192).

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

993888 is a wasteful number, since it uses less digits than its factorization.

993888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 58 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 993888 is about 996.9393161071. The cubic root of 993888 is about 99.7958501788.

It can be divided in two parts, 993 and 888, that added together give a palindrome (1881).

The spelling of 993888 in words is "nine hundred ninety-three thousand, eight hundred eighty-eight".