6393312 has 72 divisors (see below), whose sum is σ = 18476640. Its totient is φ = 2096640.

The previous prime is 6393301. The next prime is 6393319. The reversal of 6393312 is 2133936.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6393319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22612 + ... + 22892.

It is an arithmetic number, because the mean of its divisors is an integer number (256620).

Almost surely, 2^6393312 is an apocalyptic number.

It is a pronic number, being equal to 2528×2529.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6393312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9238320).

6393312 is an abundant number, since it is smaller than the sum of its proper divisors (12083328).

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

6393312 is a wasteful number, since it uses less digits than its factorization.

6393312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 365 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 6393312 is about 2528.4999505636. The cubic root of 6393312 is about 185.5988579993.

The spelling of 6393312 in words is "six million, three hundred ninety-three thousand, three hundred twelve".