6993312 has 48 divisors (see below), whose sum is σ = 18571392. Its totient is φ = 2304000.

The previous prime is 6993299. The next prime is 6993319. The reversal of 6993312 is 2133996.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (6993319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8937 + ... + 9687.

It is an arithmetic number, because the mean of its divisors is an integer number (386904).

Almost surely, 2^6993312 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 6993312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9285696).

6993312 is an abundant number, since it is smaller than the sum of its proper divisors (11578080).

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

6993312 is a wasteful number, since it uses less digits than its factorization.

6993312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 853 counting only the distinct ones).

The product of its digits is 8748, while the sum is 33.

The square root of 6993312 is about 2644.4870958278. The cubic root of 6993312 is about 191.2321765611.

The spelling of 6993312 in words is "six million, nine hundred ninety-three thousand, three hundred twelve".