6438720 has 112 divisors (see below), whose sum is σ = 21579840. Its totient is φ = 1622016.

The previous prime is 6438697. The next prime is 6438721. The reversal of 6438720 is 278346.

6438720 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6438721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18064 + ... + 18416.

Almost surely, 2^6438720 is an apocalyptic number.

6438720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10789920).

6438720 is an abundant number, since it is smaller than the sum of its proper divisors (15141120).

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

6438720 is a wasteful number, since it uses less digits than its factorization.

6438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 6438720 is about 2537.4633002272. The cubic root of 6438720 is about 186.0372222881.

The spelling of 6438720 in words is "six million, four hundred thirty-eight thousand, seven hundred twenty".