6438312 has 64 divisors (see below), whose sum is σ = 18345600. Its totient is φ = 2090880.

The previous prime is 6438307. The next prime is 6438331. The reversal of 6438312 is 2138346.

It is a happy number.

6438312 is a `hidden beast` number, since 643 + 8 + 3 + 12 = 666.

It is a super-2 number, since 2×6438312² = 82903722818688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an Ulam number.

It is a plaindrome in base 13.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8493 + ... + 9219.

It is an arithmetic number, because the mean of its divisors is an integer number (286650).

Almost surely, 2^6438312 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 6438312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9172800).

6438312 is an abundant number, since it is smaller than the sum of its proper divisors (11907288).

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

6438312 is a wasteful number, since it uses less digits than its factorization.

6438312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 773 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 6438312 is about 2537.3829037022. The cubic root of 6438312 is about 186.0332926877.

Subtracting from 6438312 its product of digits (3456), we obtain a cube (6434856 = 186³).

The spelling of 6438312 in words is "six million, four hundred thirty-eight thousand, three hundred twelve".