6826512 has 80 divisors (see below), whose sum is σ = 21998592. Its totient is φ = 1772160.

The previous prime is 6826511. The next prime is 6826543. The reversal of 6826512 is 2156286.

It is a super-2 number, since 2×6826512² = 93202532172288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6826512.

It is not an unprimeable number, because it can be changed into a prime (6826511) 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 15 ways as a sum of consecutive naturals, for example, 2773 + ... + 4619.

Almost surely, 2^6826512 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 6826512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10999296).

6826512 is an abundant number, since it is smaller than the sum of its proper divisors (15172080).

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

6826512 is a wasteful number, since it uses less digits than its factorization.

6826512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1870 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 6826512 is about 2612.7594608000. The cubic root of 6826512 is about 189.6995435911.

The spelling of 6826512 in words is "six million, eight hundred twenty-six thousand, five hundred twelve".