6838912 has 48 divisors (see below), whose sum is σ = 14383530. Its totient is φ = 3238400.

The previous prime is 6838883. The next prime is 6838919. The reversal of 6838912 is 2198386.

It can be written as a sum of positive squares in only one way, i.e., 4096576 + 2742336 = 2024^2 + 1656^2 .

It is not an unprimeable number, because it can be changed into a prime (6838919) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67662 + ... + 67762.

Almost surely, 2^6838912 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 6838912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7191765).

6838912 is an abundant number, since it is smaller than the sum of its proper divisors (7544618).

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

6838912 is a wasteful number, since it uses less digits than its factorization.

6838912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 126 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The square root of 6838912 is about 2615.1313542535. The cubic root of 6838912 is about 189.8143338634.

It can be divided in two parts, 6838 and 912, that added together give a triangular number (7750 = T₁₂₄).

The spelling of 6838912 in words is "six million, eight hundred thirty-eight thousand, nine hundred twelve".