6825600 has 192 divisors, whose sum is σ = 25296000. Its totient is φ = 1797120.

The previous prime is 6825589. The next prime is 6825613. The reversal of 6825600 is 65286.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 86361 + ... + 86439.

It is an arithmetic number, because the mean of its divisors is an integer number (131750).

Almost surely, 2^6825600 is an apocalyptic number.

6825600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12648000).

6825600 is an abundant number, since it is smaller than the sum of its proper divisors (18470400).

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

6825600 is a wasteful number, since it uses less digits than its factorization.

6825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6825600 is about 2612.5849268493. The cubic root of 6825600 is about 189.6910954656.

The spelling of 6825600 in words is "six million, eight hundred twenty-five thousand, six hundred".