6408672 has 48 divisors (see below), whose sum is σ = 16953552. Its totient is φ = 2119680.

The previous prime is 6408653. The next prime is 6408691. The reversal of 6408672 is 2768046.

6408672 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6408653) and next prime (6408691).

It is a tau number, because it is divible by the number of its divisors (48).

6408672 is a modest number, since divided by 8672 gives 64 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22998 + ... + 23274.

It is an arithmetic number, because the mean of its divisors is an integer number (353199).

Almost surely, 2^6408672 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 6408672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8476776).

6408672 is an abundant number, since it is smaller than the sum of its proper divisors (10544880).

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

6408672 is a wasteful number, since it uses less digits than its factorization.

6408672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 6408672 is about 2531.5355024175. The cubic root of 6408672 is about 185.7473735354.

The spelling of 6408672 in words is "six million, four hundred eight thousand, six hundred seventy-two".