993682368 has 504 divisors, whose sum is σ = 3726637200. Its totient is φ = 250822656.

The previous prime is 993682289. The next prime is 993682379. The reversal of 993682368 is 863286399.

993682368 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 (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9116298 + ... + 9116406.

Almost surely, 2^993682368 is an apocalyptic number.

993682368 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993682368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863318600).

993682368 is an abundant number, since it is smaller than the sum of its proper divisors (2732954832).

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

993682368 is a wasteful number, since it uses less digits than its factorization.

993682368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 157 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 993682368 is about 31522.7278007472. The cubic root of 993682368 is about 997.8896723165.

The spelling of 993682368 in words is "nine hundred ninety-three million, six hundred eighty-two thousand, three hundred sixty-eight".