6884416 has 84 divisors (see below), whose sum is σ = 17296384. Its totient is φ = 2661120.

The previous prime is 6884401. The next prime is 6884431. The reversal of 6884416 is 6144886.

It is an interprime number because it is at equal distance from previous prime (6884401) and next prime (6884431).

It is a super-2 number, since 2×6884416² = 94790367322112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54145 + ... + 54271.

Almost surely, 2^6884416 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 6884416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8648192).

6884416 is an abundant number, since it is smaller than the sum of its proper divisors (10411968).

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

6884416 is a wasteful number, since it uses less digits than its factorization.

6884416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 147 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 6884416 is about 2623.8170667941. The cubic root of 6884416 is about 190.2343921653.

The spelling of 6884416 in words is "six million, eight hundred eighty-four thousand, four hundred sixteen".