993936384 has 396 divisors, whose sum is σ = 3494769408. Its totient is φ = 270950400.

The previous prime is 993936337. The next prime is 993936397. The reversal of 993936384 is 483639399.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 993936384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13999069 + ... + 13999139.

Almost surely, 2^993936384 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 993936384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747384704).

993936384 is an abundant number, since it is smaller than the sum of its proper divisors (2500833024).

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

993936384 is a wasteful number, since it uses less digits than its factorization.

993936384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 114 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The square root of 993936384 is about 31526.7566362289. The cubic root of 993936384 is about 997.9746955778.

The spelling of 993936384 in words is "nine hundred ninety-three million, nine hundred thirty-six thousand, three hundred eighty-four".