656128 has 36 divisors (see below), whose sum is σ = 1434888. Its totient is φ = 296960.

The previous prime is 656119. The next prime is 656129. The reversal of 656128 is 821656.

It is a junction number, because it is equal to n+sod(n) for n = 656096 and 656105.

It is not an unprimeable number, because it can be changed into a prime (656129) by changing a digit.

656128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2700 + ... + 2932.

It is an arithmetic number, because the mean of its divisors is an integer number (39858).

2⁶⁵⁶¹²⁸ 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 656128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717444).

656128 is an abundant number, since it is smaller than the sum of its proper divisors (778760).

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

656128 is a wasteful number, since it uses less digits than its factorization.

656128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 656128 is about 810.0172837662. The cubic root of 656128 is about 86.8952807059.

Subtracting from 656128 its sum of digits (28), we obtain a square (656100 = 810²).

It can be divided in two parts, 656 and 128, that added together give a square (784 = 28²).

The spelling of 656128 in words is "six hundred fifty-six thousand, one hundred twenty-eight".