6825744 has 60 divisors (see below), whose sum is σ = 19324656. Its totient is φ = 2248896.

The previous prime is 6825743. The next prime is 6825757. The reversal of 6825744 is 4475286.

6825744 is a `hidden beast` number, since 6 + 82 + 574 + 4 = 666.

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

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 6825699 and 6825708.

It is not an unprimeable number, because it can be changed into a prime (6825743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15187 + ... + 15629.

Almost surely, 2^6825744 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 6825744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9662328).

6825744 is an abundant number, since it is smaller than the sum of its proper divisors (12498912).

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

6825744 is a wasteful number, since it uses less digits than its factorization.

6825744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 555 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 6825744 is about 2612.6124856166. The cubic root of 6825744 is about 189.6924294302.

It can be divided in two parts, 6825 and 744, that added together give a square (7569 = 87²).

The spelling of 6825744 in words is "six million, eight hundred twenty-five thousand, seven hundred forty-four".