117175968 has 288 divisors, whose sum is σ = 435891456. Its totient is φ = 28975104.

The previous prime is 117175967. The next prime is 117175969. The reversal of 117175968 is 869571711.

It is an interprime number because it is at equal distance from previous prime (117175967) and next prime (117175969).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (117175967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445405 + ... + 445667.

It is an arithmetic number, because the mean of its divisors is an integer number (1513512).

Almost surely, 2^117175968 is an apocalyptic number.

117175968 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 117175968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217945728).

117175968 is an abundant number, since it is smaller than the sum of its proper divisors (318715488).

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

117175968 is a wasteful number, since it uses less digits than its factorization.

117175968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 305 counting only the distinct ones).

The product of its digits is 105840, while the sum is 45.

The square root of 117175968 is about 10824.7848939367. The cubic root of 117175968 is about 489.3424026182.

The spelling of 117175968 in words is "one hundred seventeen million, one hundred seventy-five thousand, nine hundred sixty-eight".