117807984 has 120 divisors (see below), whose sum is σ = 382198752. Its totient is φ = 33177600.

The previous prime is 117807971. The next prime is 117808007. The reversal of 117807984 is 489708711.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 72784 + ... + 74384.

Almost surely, 2^117807984 is an apocalyptic number.

117807984 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 117807984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191099376).

117807984 is an abundant number, since it is smaller than the sum of its proper divisors (264390768).

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

117807984 is a wasteful number, since it uses less digits than its factorization.

117807984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 117807984 is about 10853.9386399592. The cubic root of 117807984 is about 490.2206197970.

The spelling of 117807984 in words is "one hundred seventeen million, eight hundred seven thousand, nine hundred eighty-four".