6438672 has 60 divisors (see below), whose sum is σ = 18339724. Its totient is φ = 2108160.

The previous prime is 6438661. The next prime is 6438697. The reversal of 6438672 is 2768346.

6438672 is a `hidden beast` number, since 643 + 8 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3326976 + 3111696 = 1824^2 + 1764^2 .

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8418 + ... + 9150.

Almost surely, 2^6438672 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 6438672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9169862).

6438672 is an abundant number, since it is smaller than the sum of its proper divisors (11901052).

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

6438672 is a wasteful number, since it uses less digits than its factorization.

6438672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 799 counting only the distinct ones).

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

The square root of 6438672 is about 2537.4538419447. The cubic root of 6438672 is about 186.0367599908.

The spelling of 6438672 in words is "six million, four hundred thirty-eight thousand, six hundred seventy-two".