117705168 has 120 divisors (see below), whose sum is σ = 392915328. Its totient is φ = 32161536.

The previous prime is 117705167. The next prime is 117705179. The reversal of 117705168 is 861507711.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117705167) 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, 20646 + ... + 25722.

Almost surely, 2^117705168 is an apocalyptic number.

117705168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117705168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196457664).

117705168 is an abundant number, since it is smaller than the sum of its proper divisors (275210160).

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

117705168 is a wasteful number, since it uses less digits than its factorization.

117705168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5121 (or 5112 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The square root of 117705168 is about 10849.2012609224. The cubic root of 117705168 is about 490.0779662138.

The spelling of 117705168 in words is "one hundred seventeen million, seven hundred five thousand, one hundred sixty-eight".