117568 has 28 divisors (see below), whose sum is σ = 256032. Its totient is φ = 53120.

The previous prime is 117563. The next prime is 117571. The reversal of 117568 is 865711.

It is a happy number.

It is a Smith number, since the sum of its digits (28) 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 (117563) by changing a digit.

117568 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 621 + ... + 787.

It is an arithmetic number, because the mean of its divisors is an integer number (9144).

117568 is a Friedman number, since it can be written as 7^(6*1^5)-81, using all its digits and the basic arithmetic operations.

2¹¹⁷⁵⁶⁸ 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 117568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128016).

117568 is an abundant number, since it is smaller than the sum of its proper divisors (138464).

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

117568 is a wasteful number, since it uses less digits than its factorization.

117568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its digits is 1680, while the sum is 28.

The square root of 117568 is about 342.8819038678. The cubic root of 117568 is about 48.9887521038.

The spelling of 117568 in words is "one hundred seventeen thousand, five hundred sixty-eight".