993800000 has 84 divisors (see below), whose sum is σ = 2465428140. Its totient is φ = 397440000.

The previous prime is 993799999. The next prime is 993800009. The reversal of 993800000 is 8399.

993800000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 922701376 + 71098624 = 30376^2 + 8432^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993800009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197516 + ... + 202484.

It is an arithmetic number, because the mean of its divisors is an integer number (29350335).

Almost surely, 2^993800000 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 993800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232714070).

993800000 is an abundant number, since it is smaller than the sum of its proper divisors (1471628140).

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

993800000 is an frugal number, since it uses more digits than its factorization.

993800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006 (or 4976 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 993800000 is about 31524.5935739067. The cubic root of 993800000 is about 997.9290474495.

Adding to 993800000 its reverse (8399), we get a palindrome (993808399).

The spelling of 993800000 in words is "nine hundred ninety-three million, eight hundred thousand".