993218432 has 64 divisors (see below), whose sum is σ = 2018792160. Its totient is φ = 486635520.

The previous prime is 993218423. The next prime is 993218437. The reversal of 993218432 is 234812399.

993218432 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 (64).

It is a self number, because there is not a number n which added to its sum of digits gives 993218432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993218437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2662598 + ... + 2662970.

Almost surely, 2^993218432 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 993218432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009396080).

993218432 is an abundant number, since it is smaller than the sum of its proper divisors (1025573728).

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

993218432 is a wasteful number, since it uses less digits than its factorization.

993218432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 739 counting only the distinct ones).

The product of its digits is 93312, while the sum is 41.

The square root of 993218432 is about 31515.3681876002. The cubic root of 993218432 is about 997.7343480312.

The spelling of 993218432 in words is "nine hundred ninety-three million, two hundred eighteen thousand, four hundred thirty-two".