993806320 has 80 divisors (see below), whose sum is σ = 2495590272. Its totient is φ = 365875200.

The previous prime is 993806311. The next prime is 993806321. The reversal of 993806320 is 23608399.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993806321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415849 + ... + 418231.

Almost surely, 2^993806320 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 993806320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247795136).

993806320 is an abundant number, since it is smaller than the sum of its proper divisors (1501783952).

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

993806320 is a wasteful number, since it uses less digits than its factorization.

993806320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 993806320 is about 31524.6938129461. The cubic root of 993806320 is about 997.9311628645.

The spelling of 993806320 in words is "nine hundred ninety-three million, eight hundred six thousand, three hundred twenty".