993138380 has 96 divisors (see below), whose sum is σ = 2315101824. Its totient is φ = 355590144.

The previous prime is 993138359. The next prime is 993138397. The reversal of 993138380 is 83831399.

993138380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1336289 + ... + 1337031.

It is an arithmetic number, because the mean of its divisors is an integer number (24115644).

Almost surely, 2^993138380 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 993138380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157550912).

993138380 is an abundant number, since it is smaller than the sum of its proper divisors (1321963444).

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

993138380 is a wasteful number, since it uses less digits than its factorization.

993138380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 44.

The square root of 993138380 is about 31514.0981149707. The cubic root of 993138380 is about 997.7075419855.

The spelling of 993138380 in words is "nine hundred ninety-three million, one hundred thirty-eight thousand, three hundred eighty".