6938496 has 96 divisors (see below), whose sum is σ = 21083400. Its totient is φ = 2184192.

The previous prime is 6938467. The next prime is 6938497. The reversal of 6938496 is 6948396.

6938496 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 (6938497) 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, 21730 + ... + 22046.

Almost surely, 2^6938496 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 6938496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10541700).

6938496 is an abundant number, since it is smaller than the sum of its proper divisors (14144904).

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

6938496 is a wasteful number, since it uses less digits than its factorization.

6938496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 341 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 6938496 is about 2634.1025037003. The cubic root of 6938496 is about 190.7312173785.

The spelling of 6938496 in words is "six million, nine hundred thirty-eight thousand, four hundred ninety-six".