6526880 has 72 divisors (see below), whose sum is σ = 16418052. Its totient is φ = 2451456.

The previous prime is 6526879. The next prime is 6526889. The reversal of 6526880 is 886256.

It can be written as a sum of positive squares in 2 ways, for example, as 5550736 + 976144 = 2356^2 + 988^2 .

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 6526880.

It is not an unprimeable number, because it can be changed into a prime (6526889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57704 + ... + 57816.

Almost surely, 2^6526880 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 6526880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8209026).

6526880 is an abundant number, since it is smaller than the sum of its proper divisors (9891172).

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

6526880 is a wasteful number, since it uses less digits than its factorization.

6526880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 6526880 is about 2554.7759197237. The cubic root of 6526880 is about 186.8824601892.

The spelling of 6526880 in words is "six million, five hundred twenty-six thousand, eight hundred eighty".