993816000 has 448 divisors, whose sum is σ = 3765864960. Its totient is φ = 256435200.

The previous prime is 993815989. The next prime is 993816007. The reversal of 993816000 is 618399.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993816007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9287947 + ... + 9288053.

Almost surely, 2^993816000 is an apocalyptic number.

993816000 is a gapful number since it is divisible by the number (90) 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 993816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882932480).

993816000 is an abundant number, since it is smaller than the sum of its proper divisors (2772048960).

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

993816000 is a wasteful number, since it uses less digits than its factorization.

993816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 993816000 is about 31524.8473430087. The cubic root of 993816000 is about 997.9344029131.

The spelling of 993816000 in words is "nine hundred ninety-three million, eight hundred sixteen thousand".