993168 has 120 divisors (see below), whose sum is σ = 3298400. Its totient is φ = 285120.

The previous prime is 993137. The next prime is 993169. The reversal of 993168 is 861399.

993168 is digitally balanced in base 2, because in such base 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 (36).

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

It is not an unprimeable number, because it can be changed into a prime (993169) 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, 52263 + ... + 52281.

2⁹⁹³¹⁶⁸ 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 993168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649200).

993168 is an abundant number, since it is smaller than the sum of its proper divisors (2305232).

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

993168 is a wasteful number, since it uses less digits than its factorization.

993168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 35 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 993168 is about 996.5781454557. The cubic root of 993168 is about 99.7717460645.

Subtracting from 993168 its reverse (861399), we obtain a square (131769 = 363²).

It can be divided in two parts, 9931 and 68, that added together give a palindrome (9999).

The spelling of 993168 in words is "nine hundred ninety-three thousand, one hundred sixty-eight".