117177984 has 192 divisors, whose sum is σ = 420713280. Its totient is φ = 30412800.

The previous prime is 117177979. The next prime is 117178043. The reversal of 117177984 is 489771711.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 88044 + ... + 89364.

It is an arithmetic number, because the mean of its divisors is an integer number (2191215).

Almost surely, 2^117177984 is an apocalyptic number.

117177984 is a gapful number since it is divisible by the number (14) 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 117177984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210356640).

117177984 is an abundant number, since it is smaller than the sum of its proper divisors (303535296).

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

117177984 is a wasteful number, since it uses less digits than its factorization.

117177984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1344 counting only the distinct ones).

The product of its digits is 98784, while the sum is 45.

The square root of 117177984 is about 10824.8780131695. The cubic root of 117177984 is about 489.3452089634.

It can be divided in two parts, 11717 and 7984, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 117177984 in words is "one hundred seventeen million, one hundred seventy-seven thousand, nine hundred eighty-four".