656136 has 48 divisors (see below), whose sum is σ = 1916460. Its totient is φ = 201600.

The previous prime is 656129. The next prime is 656141. The reversal of 656136 is 631656.

656136 is a `hidden beast` number, since 656 + 1 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 656100 + 36 = 810^2 + 6^2 .

It is an unprimeable number.

656136 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 11 ways as a sum of consecutive naturals, for example, 586 + ... + 1286.

2⁶⁵⁶¹³⁶ is an apocalyptic number.

656136 is the 468-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958230).

656136 is an abundant number, since it is smaller than the sum of its proper divisors (1260324).

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

656136 is a wasteful number, since it uses less digits than its factorization.

656136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 719 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 656136 is about 810.0222219174. The cubic root of 656136 is about 86.8956338684.

It can be divided in two parts, 6561 and 36, that multiplied together give a square (236196 = 486²).

The spelling of 656136 in words is "six hundred fifty-six thousand, one hundred thirty-six".