117824616 has 192 divisors, whose sum is σ = 401856000. Its totient is φ = 30989952.

The previous prime is 117824579. The next prime is 117824617. The reversal of 117824616 is 616428711.

It is a happy number.

117824616 is a `hidden beast` number, since 1 + 17 + 8 + 24 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117824617) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 320865 + ... + 321231.

It is an arithmetic number, because the mean of its divisors is an integer number (2093000).

Almost surely, 2^117824616 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 117824616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200928000).

117824616 is an abundant number, since it is smaller than the sum of its proper divisors (284031384).

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

117824616 is a wasteful number, since it uses less digits than its factorization.

117824616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 392 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 117824616 is about 10854.7047864048. The cubic root of 117824616 is about 490.2436883119.

The spelling of 117824616 in words is "one hundred seventeen million, eight hundred twenty-four thousand, six hundred sixteen".