6838416 has 90 divisors (see below), whose sum is σ = 20797218. Its totient is φ = 2096640.

The previous prime is 6838411. The next prime is 6838417. The reversal of 6838416 is 6148386.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 57600 + 6780816 = 240^2 + 2604^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (6838411) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24196 + ... + 24476.

Almost surely, 2^6838416 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 6838416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10398609).

6838416 is an abundant number, since it is smaller than the sum of its proper divisors (13958802).

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

6838416 is a wasteful number, since it uses less digits than its factorization.

6838416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 299 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 6838416 is about 2615.0365198215. The cubic root of 6838416 is about 189.8097449178.

The spelling of 6838416 in words is "six million, eight hundred thirty-eight thousand, four hundred sixteen".