117789984 has 96 divisors (see below), whose sum is σ = 370016640. Its totient is φ = 36239616.

The previous prime is 117789961. The next prime is 117790003. The reversal of 117789984 is 489987711.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 117789984.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5989 + ... + 16475.

It is an arithmetic number, because the mean of its divisors is an integer number (3854340).

Almost surely, 2^117789984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117789984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185008320).

117789984 is an abundant number, since it is smaller than the sum of its proper divisors (252226656).

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

117789984 is a wasteful number, since it uses less digits than its factorization.

117789984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10519 (or 10505 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 54.

The square root of 117789984 is about 10853.1094161996. The cubic root of 117789984 is about 490.1956514253.

The spelling of 117789984 in words is "one hundred seventeen million, seven hundred eighty-nine thousand, nine hundred eighty-four".