993688192 has 64 divisors (see below), whose sum is σ = 2274192000. Its totient is φ = 423650304.

The previous prime is 993688183. The next prime is 993688237. The reversal of 993688192 is 291886399.

993688192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175518 + ... + 181090.

It is an arithmetic number, because the mean of its divisors is an integer number (35534250).

Almost surely, 2^993688192 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 993688192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137096000).

993688192 is an abundant number, since it is smaller than the sum of its proper divisors (1280503808).

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

993688192 is a wasteful number, since it uses less digits than its factorization.

993688192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5793 (or 5781 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 55.

The square root of 993688192 is about 31522.8201784041. The cubic root of 993688192 is about 997.8916218657.

The spelling of 993688192 in words is "nine hundred ninety-three million, six hundred eighty-eight thousand, one hundred ninety-two".