6738312 has 64 divisors (see below), whose sum is σ = 20275200. Its totient is φ = 1823040.

The previous prime is 6738301. The next prime is 6738317. The reversal of 6738312 is 2138376.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6738312.

It is not an unprimeable number, because it can be changed into a prime (6738317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2137 + ... + 4247.

It is an arithmetic number, because the mean of its divisors is an integer number (316800).

Almost surely, 2^6738312 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 6738312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10137600).

6738312 is an abundant number, since it is smaller than the sum of its proper divisors (13536888).

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

6738312 is a wasteful number, since it uses less digits than its factorization.

6738312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2142 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 6738312 is about 2595.8258801391. The cubic root of 6738312 is about 188.8790132989.

The spelling of 6738312 in words is "six million, seven hundred thirty-eight thousand, three hundred twelve".