117824 has 28 divisors (see below), whose sum is σ = 268224. Its totient is φ = 50304.

The previous prime is 117811. The next prime is 117833. The reversal of 117824 is 428711.

Added to its reverse (428711) it gives a triangular number (546535 = T₁₀₄₅).

It is a tau number, because it is divible by the number of its divisors (28).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 117824.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 317 + ... + 579.

2¹¹⁷⁸²⁴ is an apocalyptic number.

117824 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 117824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134112).

117824 is an abundant number, since it is smaller than the sum of its proper divisors (150400).

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

117824 is an equidigital number, since it uses as much as digits as its factorization.

117824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 272 counting only the distinct ones).

The product of its digits is 448, while the sum is 23.

The square root of 117824 is about 343.2550072468. The cubic root of 117824 is about 49.0242833961.

Adding to 117824 its reverse (428711), we get a triangular number (546535 = T₁₀₄₅).

The spelling of 117824 in words is "one hundred seventeen thousand, eight hundred twenty-four".