6725664 has 108 divisors (see below), whose sum is σ = 21131838. Its totient is φ = 2027520.

The previous prime is 6725657. The next prime is 6725687. The reversal of 6725664 is 4665276.

It can be written as a sum of positive squares in only one way, i.e., 6290064 + 435600 = 2508^2 + 660^2 .

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

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 34752 + ... + 34944.

Almost surely, 2^6725664 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 6725664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10565919).

6725664 is an abundant number, since it is smaller than the sum of its proper divisors (14406174).

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

6725664 is a wasteful number, since it uses less digits than its factorization.

6725664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 209 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 6725664 is about 2593.3885169793. The cubic root of 6725664 is about 188.7607622184.

It can be divided in two parts, 672 and 5664, that added together give a palindrome (6336).

The spelling of 6725664 in words is "six million, seven hundred twenty-five thousand, six hundred sixty-four".