993411216 has 280 divisors, whose sum is σ = 3447934080. Its totient is φ = 271491264.

The previous prime is 993411191. The next prime is 993411217. The reversal of 993411216 is 612114399.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993411217) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 43191781 + ... + 43191803.

Almost surely, 2^993411216 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 993411216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723967040).

993411216 is an abundant number, since it is smaller than the sum of its proper divisors (2454522864).

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

993411216 is an frugal number, since it uses more digits than its factorization.

993411216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 35 counting only the distinct ones).

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

The square root of 993411216 is about 31518.4266104766. The cubic root of 993411216 is about 997.7988973685.

The spelling of 993411216 in words is "nine hundred ninety-three million, four hundred eleven thousand, two hundred sixteen".