6398784 has 168 divisors, whose sum is σ = 22473920. Its totient is φ = 1748736.

The previous prime is 6398767. The next prime is 6398789. The reversal of 6398784 is 4878936.

It is a happy number.

6398784 is a `hidden beast` number, since 639 + 8 + 7 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6398789) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278197 + ... + 278219.

Almost surely, 2^6398784 is an apocalyptic number.

6398784 is a gapful number since it is divisible by the number (64) 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 6398784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11236960).

6398784 is an abundant number, since it is smaller than the sum of its proper divisors (16075136).

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

6398784 is a wasteful number, since it uses less digits than its factorization.

6398784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 35 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 6398784 is about 2529.5817836156. The cubic root of 6398784 is about 185.6517939080.

The spelling of 6398784 in words is "six million, three hundred ninety-eight thousand, seven hundred eighty-four".