6825456 has 120 divisors (see below), whose sum is σ = 21665280. Its totient is φ = 1987200.

The previous prime is 6825451. The next prime is 6825461. The reversal of 6825456 is 6545286.

6825456 = T₄₈ + T₄₉ + ... + T₃₄₄.

It is an interprime number because it is at equal distance from previous prime (6825451) and next prime (6825461).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6825456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6825451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49035 + ... + 49173.

It is an arithmetic number, because the mean of its divisors is an integer number (180544).

Almost surely, 2^6825456 is an apocalyptic number.

6825456 is a gapful number since it is divisible by the number (66) 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 6825456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10832640).

6825456 is an abundant number, since it is smaller than the sum of its proper divisors (14839824).

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

6825456 is a wasteful number, since it uses less digits than its factorization.

6825456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 186 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 6825456 is about 2612.5573677912. The cubic root of 6825456 is about 189.6897614823.

The spelling of 6825456 in words is "six million, eight hundred twenty-five thousand, four hundred fifty-six".