6723648 has 70 divisors (see below), whose sum is σ = 19946366. Its totient is φ = 2239488.

The previous prime is 6723643. The next prime is 6723667. The reversal of 6723648 is 8463276.

6723648 is a `hidden beast` number, since 6 + 7 + 2 + 3 + 648 = 666.

6723648 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 2593²-1.

It can be written as a sum of positive squares in only one way, i.e., 6718464 + 5184 = 2592^2 + 72^2 .

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

It is a d-powerful number, because it can be written as 6 + 7⁸ + 2¹⁷ + 3¹² + 6⁷ + 4⁷ + 8 .

It is not an unprimeable number, because it can be changed into a prime (6723641) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4536 + ... + 5832.

Almost surely, 2^6723648 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 6723648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9973183).

6723648 is an abundant number, since it is smaller than the sum of its proper divisors (13222718).

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

6723648 is a wasteful number, since it uses less digits than its factorization.

6723648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1302 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 6723648 is about 2592.9998071732. Note that the first 3 decimals coincide. The cubic root of 6723648 is about 188.7419001539.

The spelling of 6723648 in words is "six million, seven hundred twenty-three thousand, six hundred forty-eight".