993200 has 60 divisors (see below), whose sum is σ = 2583168. Its totient is φ = 364800.

The previous prime is 993199. The next prime is 993203. The reversal of 993200 is 2399.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (993203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5105 + ... + 5295.

2⁹⁹³²⁰⁰ 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 993200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291584).

993200 is an abundant number, since it is smaller than the sum of its proper divisors (1589968).

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

993200 is a wasteful number, since it uses less digits than its factorization.

993200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 993200 is about 996.5942002641. The cubic root of 993200 is about 99.7728176058.

Adding to 993200 its reverse (2399), we get a palindrome (995599).

The spelling of 993200 in words is "nine hundred ninety-three thousand, two hundred".