117656 has 32 divisors (see below), whose sum is σ = 276480. Its totient is φ = 45600.

The previous prime is 117643. The next prime is 117659. The reversal of 117656 is 656711.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117659) by changing a digit.

117656 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 7 ways as a sum of consecutive naturals, for example, 521 + ... + 711.

It is an arithmetic number, because the mean of its divisors is an integer number (8640).

117656 is a Friedman number, since it can be written as 7+(6*(1+1)-5)^6, using all its digits and the basic arithmetic operations.

2¹¹⁷⁶⁵⁶ 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 117656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138240).

117656 is an abundant number, since it is smaller than the sum of its proper divisors (158824).

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

117656 is a wasteful number, since it uses less digits than its factorization.

117656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 211 counting only the distinct ones).

The product of its digits is 1260, while the sum is 26.

The square root of 117656 is about 343.0102039299. The cubic root of 117656 is about 49.0009717980. Note that the first 3 decimals are identical.

It can be divided in two parts, 1176 and 56, that multiplied together give a palindrome (65856).

The spelling of 117656 in words is "one hundred seventeen thousand, six hundred fifty-six".