656328 has 64 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 197120.

The previous prime is 656323. The next prime is 656329. The reversal of 656328 is 823656.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 656295 and 656304.

It is not an unprimeable number, because it can be changed into a prime (656321) by changing a digit.

656328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 15988 + ... + 16028.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2⁶⁵⁶³²⁸ 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 656328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

656328 is an abundant number, since it is smaller than the sum of its proper divisors (1158072).

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

656328 is a wasteful number, since it uses less digits than its factorization.

656328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 98 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 656328 is about 810.1407285157. The cubic root of 656328 is about 86.9041089074.

The spelling of 656328 in words is "six hundred fifty-six thousand, three hundred twenty-eight".