117379584 has 160 divisors (see below), whose sum is σ = 397415040. Its totient is φ = 33509376.

The previous prime is 117379573. The next prime is 117379589. The reversal of 117379584 is 485973711.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (117379589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96162 + ... + 97374.

It is an arithmetic number, because the mean of its divisors is an integer number (2483844).

Almost surely, 2^117379584 is an apocalyptic number.

117379584 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 117379584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198707520).

117379584 is an abundant number, since it is smaller than the sum of its proper divisors (280035456).

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

117379584 is an equidigital number, since it uses as much as digits as its factorization.

117379584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1225 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 117379584 is about 10834.1858946577. The cubic root of 117379584 is about 489.6256810828.

It can be divided in two parts, 11737 and 9584, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 117379584 in words is "one hundred seventeen million, three hundred seventy-nine thousand, five hundred eighty-four".