6825126 has 96 divisors (see below), whose sum is σ = 18385920. Its totient is φ = 1647360.

The previous prime is 6825101. The next prime is 6825127. The reversal of 6825126 is 6215286.

It is a d-powerful number, because it can be written as 6⁶ + 8⁷ + 2¹⁹ + 5⁹ + 1 + 2¹⁹ + 6⁸ .

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 6825093 and 6825102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6825127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86355 + ... + 86433.

It is an arithmetic number, because the mean of its divisors is an integer number (191520).

Almost surely, 2^6825126 is an apocalyptic number.

6825126 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6825126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192960).

6825126 is an abundant number, since it is smaller than the sum of its proper divisors (11560794).

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

6825126 is a wasteful number, since it uses less digits than its factorization.

6825126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 119 counting only the distinct ones).

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

The square root of 6825126 is about 2612.4942105199. The cubic root of 6825126 is about 189.6867043664.

The spelling of 6825126 in words is "six million, eight hundred twenty-five thousand, one hundred twenty-six".