656928 has 36 divisors (see below), whose sum is σ = 1868958. Its totient is φ = 218880.

The previous prime is 656923. The next prime is 656939. The reversal of 656928 is 829656.

It can be written as a sum of positive squares in only one way, i.e., 535824 + 121104 = 732^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 656892 and 656901.

It is not an unprimeable number, because it can be changed into a prime (656923) by changing a digit.

656928 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 (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 853 + ... + 1428.

2⁶⁵⁶⁹²⁸ is an apocalyptic number.

It is an amenable number.

656928 is an abundant number, since it is smaller than the sum of its proper divisors (1212030).

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

656928 is a wasteful number, since it uses less digits than its factorization.

656928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2286 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 656928 is about 810.5109499569. The cubic root of 656928 is about 86.9305827560.

The spelling of 656928 in words is "six hundred fifty-six thousand, nine hundred twenty-eight".