6825560 has 64 divisors (see below), whose sum is σ = 18489600. Its totient is φ = 2215296.

The previous prime is 6825547. The next prime is 6825569. The reversal of 6825560 is 655286.

It is a happy number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6825569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4679 + ... + 5961.

It is an arithmetic number, because the mean of its divisors is an integer number (288900).

Almost surely, 2^6825560 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 6825560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9244800).

6825560 is an abundant number, since it is smaller than the sum of its proper divisors (11664040).

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

6825560 is a wasteful number, since it uses less digits than its factorization.

6825560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 6825560 is about 2612.5772715845. The cubic root of 6825560 is about 189.6907249166.

The spelling of 6825560 in words is "six million, eight hundred twenty-five thousand, five hundred sixty".