117193824 has 288 divisors, whose sum is σ = 402192000. Its totient is φ = 33073920.

The previous prime is 117193793. The next prime is 117193829. The reversal of 117193824 is 428391711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117193829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1986307 + ... + 1986365.

It is an arithmetic number, because the mean of its divisors is an integer number (1396500).

Almost surely, 2^117193824 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 117193824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201096000).

117193824 is an abundant number, since it is smaller than the sum of its proper divisors (284998176).

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

117193824 is a wasteful number, since it uses less digits than its factorization.

117193824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 117193824 is about 10825.6096364131. The cubic root of 117193824 is about 489.3672576982.

The spelling of 117193824 in words is "one hundred seventeen million, one hundred ninety-three thousand, eight hundred twenty-four".