117188240 has 80 divisors (see below), whose sum is σ = 295199856. Its totient is φ = 43008000.

The previous prime is 117188207. The next prime is 117188263. The reversal of 117188240 is 42881711.

It can be written as a sum of positive squares in 8 ways, for example, as 3211264 + 113976976 = 1792^2 + 10676^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 117188197 and 117188206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292040 + ... + 292440.

Almost surely, 2^117188240 is an apocalyptic number.

117188240 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 117188240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147599928).

117188240 is an abundant number, since it is smaller than the sum of its proper divisors (178011616).

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

117188240 is a wasteful number, since it uses less digits than its factorization.

117188240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 32.

The square root of 117188240 is about 10825.3517263875. The cubic root of 117188240 is about 489.3594851891.

The spelling of 117188240 in words is "one hundred seventeen million, one hundred eighty-eight thousand, two hundred forty".