647328 has 48 divisors (see below), whose sum is σ = 1856736. Its totient is φ = 195840.

The previous prime is 647327. The next prime is 647333. The reversal of 647328 is 823746.

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

It is a d-powerful number, because it can be written as 6⁶ + 4² + 3¹⁰ + 7⁵ + 2¹⁹ + 8³ .

It is a junction number, because it is equal to n+sod(n) for n = 647295 and 647304.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 647328.

It is not an unprimeable number, because it can be changed into a prime (647321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 750 + ... + 1362.

It is an arithmetic number, because the mean of its divisors is an integer number (38682).

2⁶⁴⁷³²⁸ 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 647328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928368).

647328 is an abundant number, since it is smaller than the sum of its proper divisors (1209408).

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

647328 is a wasteful number, since it uses less digits than its factorization.

647328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 629 counting only the distinct ones).

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

The square root of 647328 is about 804.5669642733. The cubic root of 647328 is about 86.5050505477.

The spelling of 647328 in words is "six hundred forty-seven thousand, three hundred twenty-eight".