117611424 has 144 divisors (see below), whose sum is σ = 385414848. Its totient is φ = 33325056.

The previous prime is 117611401. The next prime is 117611441. The reversal of 117611424 is 424116711.

117611424 is a `hidden beast` number, since 1 + 1 + 7 + 611 + 42 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457504 + ... + 457760.

It is an arithmetic number, because the mean of its divisors is an integer number (2676492).

Almost surely, 2^117611424 is an apocalyptic number.

117611424 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 117611424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192707424).

117611424 is an abundant number, since it is smaller than the sum of its proper divisors (267803424).

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

117611424 is a wasteful number, since it uses less digits than its factorization.

117611424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 496 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 117611424 is about 10844.8800823246. The cubic root of 117611424 is about 489.9478272925.

The spelling of 117611424 in words is "one hundred seventeen million, six hundred eleven thousand, four hundred twenty-four".