6812560 has 80 divisors (see below), whose sum is σ = 16998912. Its totient is φ = 2534400.

The previous prime is 6812549. The next prime is 6812573. The reversal of 6812560 is 652186.

It is a tau number, because it is divible by the number of its divisors (80).

It is an Ulam number.

It is an unprimeable number.

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, 101647 + ... + 101713.

Almost surely, 2^6812560 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 6812560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8499456).

6812560 is an abundant number, since it is smaller than the sum of its proper divisors (10186352).

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

6812560 is a wasteful number, since it uses less digits than its factorization.

6812560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 6812560 is about 2610.0881211178. The cubic root of 6812560 is about 189.5702197051.

The spelling of 6812560 in words is "six million, eight hundred twelve thousand, five hundred sixty".