6880224 has 96 divisors (see below), whose sum is σ = 20109600. Its totient is φ = 2045952.

The previous prime is 6880193. The next prime is 6880229. The reversal of 6880224 is 4220886.

6880224 = T₁₂₃₂ + T₁₂₃₃ + ... + T₁₂₄₀.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 6880191 and 6880200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6880229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46102 + ... + 46250.

It is an arithmetic number, because the mean of its divisors is an integer number (209475).

Almost surely, 2^6880224 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 6880224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10054800).

6880224 is an abundant number, since it is smaller than the sum of its proper divisors (13229376).

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

6880224 is a wasteful number, since it uses less digits than its factorization.

6880224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 6880224 is about 2623.0181089729. The cubic root of 6880224 is about 190.1957723565.

The spelling of 6880224 in words is "six million, eight hundred eighty thousand, two hundred twenty-four".