656838 has 48 divisors (see below), whose sum is σ = 1755936. Its totient is φ = 172800.

The previous prime is 656833. The next prime is 656839. The reversal of 656838 is 838656.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1438 + ... + 1838.

It is an arithmetic number, because the mean of its divisors is an integer number (36582).

2⁶⁵⁶⁸³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877968).

656838 is an abundant number, since it is smaller than the sum of its proper divisors (1099098).

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

656838 is a wasteful number, since it uses less digits than its factorization.

656838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 426 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 656838 is about 810.4554275221. The cubic root of 656838 is about 86.9266127066.

It can be divided in two parts, 65 and 6838, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 656838 in words is "six hundred fifty-six thousand, eight hundred thirty-eight".