6826560 has 112 divisors (see below), whose sum is σ = 23384256. Its totient is φ = 1677312.

The previous prime is 6826553. The next prime is 6826583. The reversal of 6826560 is 656286.

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 15 ways as a sum of consecutive naturals, for example, 12207 + ... + 12753.

It is an arithmetic number, because the mean of its divisors is an integer number (208788).

Almost surely, 2^6826560 is an apocalyptic number.

6826560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11692128).

6826560 is an abundant number, since it is smaller than the sum of its proper divisors (16557696).

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

6826560 is a wasteful number, since it uses less digits than its factorization.

6826560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 6826560 is about 2612.7686464745. The cubic root of 6826560 is about 189.6999882084.

The spelling of 6826560 in words is "six million, eight hundred twenty-six thousand, five hundred sixty".