6883072 has 72 divisors (see below), whose sum is σ = 16482816. Its totient is φ = 2804736.

The previous prime is 6883069. The next prime is 6883091. The reversal of 6883072 is 2703886.

It is a happy number.

It is a d-powerful number, because it can be written as 6 + 8³ + 8⁷ + 3¹⁴ + 0 + 7⁴ + 2⁵ .

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 7 ways as a sum of consecutive naturals, for example, 41133 + ... + 41299.

It is an arithmetic number, because the mean of its divisors is an integer number (228928).

Almost surely, 2^6883072 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 6883072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8241408).

6883072 is an abundant number, since it is smaller than the sum of its proper divisors (9599744).

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

6883072 is a wasteful number, since it uses less digits than its factorization.

6883072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 6883072 is about 2623.5609388768. The cubic root of 6883072 is about 190.2220119497. Note that the first 3 decimals are identical.

The spelling of 6883072 in words is "six million, eight hundred eighty-three thousand, seventy-two".