117856960 has 112 divisors (see below), whose sum is σ = 310054752. Its totient is φ = 42393600.

The previous prime is 117856939. The next prime is 117856997. The reversal of 117856960 is 69658711.

117856960 = T₅₉ + T₆₀ + ... + T₈₉₀.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170215 + ... + 170905.

It is an arithmetic number, because the mean of its divisors is an integer number (2768346).

Almost surely, 2^117856960 is an apocalyptic number.

117856960 is a gapful number since it is divisible by the number (10) 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 117856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155027376).

117856960 is an abundant number, since it is smaller than the sum of its proper divisors (192197792).

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

117856960 is a wasteful number, since it uses less digits than its factorization.

117856960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

The square root of 117856960 is about 10856.1945450512. The cubic root of 117856960 is about 490.2885430904.

The spelling of 117856960 in words is "one hundred seventeen million, eight hundred fifty-six thousand, nine hundred sixty".