117888 has 32 divisors (see below), whose sum is σ = 314160. Its totient is φ = 39168.

The previous prime is 117883. The next prime is 117889. The reversal of 117888 is 888711.

It is a tau number, because it is divible by the number of its divisors (32).

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (117881) by changing a digit.

117888 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, 231 + ... + 537.

2¹¹⁷⁸⁸⁸ 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 117888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157080).

117888 is an abundant number, since it is smaller than the sum of its proper divisors (196272).

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

117888 is an equidigital number, since it uses as much as digits as its factorization.

117888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 312 counting only the distinct ones).

The product of its digits is 3584, while the sum is 33.

The square root of 117888 is about 343.3482197420. The cubic root of 117888 is about 49.0331581761.

Subtracting from 117888 its sum of digits (33), we obtain a triangular number (117855 = T₄₈₅).

It can be divided in two parts, 11 and 7888, that multiplied together give a palindrome (86768).

The spelling of 117888 in words is "one hundred seventeen thousand, eight hundred eighty-eight".