6826080 has 48 divisors (see below), whose sum is σ = 21503664. Its totient is φ = 1820160.

The previous prime is 6826069. The next prime is 6826081. The reversal of 6826080 is 806286.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6826081) by changing a digit.

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, 6631 + ... + 7590.

It is an arithmetic number, because the mean of its divisors is an integer number (447993).

Almost surely, 2^6826080 is an apocalyptic number.

6826080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6826080 is an abundant number, since it is smaller than the sum of its proper divisors (14677584).

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

6826080 is a wasteful number, since it uses less digits than its factorization.

6826080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14239 (or 14231 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 6826080 is about 2612.6767882767. The cubic root of 6826080 is about 189.6955419412.

The spelling of 6826080 in words is "six million, eight hundred twenty-six thousand, eighty".