6390784 has 33 divisors (see below), whose sum is σ = 12939087. Its totient is φ = 3154944.

The previous prime is 6390763. The next prime is 6390799. The reversal of 6390784 is 4870936.

The square root of 6390784 is 2528.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 80857 + ... + 80935.

Almost surely, 2^6390784 is an apocalyptic number.

6390784 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6390784 is the 2528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6390784

6390784 is an abundant number, since it is smaller than the sum of its proper divisors (6548303).

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

6390784 is an frugal number, since it uses more digits than its factorization.

6390784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The cubic root of 6390784 is about 185.5743920278.

The spelling of 6390784 in words is "six million, three hundred ninety thousand, seven hundred eighty-four".