6938688 has 56 divisors (see below), whose sum is σ = 18653760. Its totient is φ = 2275840.

The previous prime is 6938681. The next prime is 6938719. The reversal of 6938688 is 8868396.

It is a super-2 number, since 2×6938688² = 96290782322688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6938681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13378 + ... + 13886.

Almost surely, 2^6938688 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 6938688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9326880).

6938688 is an abundant number, since it is smaller than the sum of its proper divisors (11715072).

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

6938688 is a wasteful number, since it uses less digits than its factorization.

6938688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 585 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 6938688 is about 2634.1389484991. The cubic root of 6938688 is about 190.7329766481.

It can be divided in two parts, 6938 and 688, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 6938688 in words is "six million, nine hundred thirty-eight thousand, six hundred eighty-eight".