993320064 has 512 divisors, whose sum is σ = 3569184000. Its totient is φ = 268369920.

The previous prime is 993320063. The next prime is 993320071. The reversal of 993320064 is 460023399.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (993320063) 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, 18741862 + ... + 18741914.

Almost surely, 2^993320064 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 993320064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784592000).

993320064 is an abundant number, since it is smaller than the sum of its proper divisors (2575863936).

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

993320064 is a wasteful number, since it uses less digits than its factorization.

993320064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 993320064 is about 31516.9805660377. The cubic root of 993320064 is about 997.7683782356.

The spelling of 993320064 in words is "nine hundred ninety-three million, three hundred twenty thousand, sixty-four".