117184320 has 336 divisors, whose sum is σ = 459321408. Its totient is φ = 28200960.

The previous prime is 117184307. The next prime is 117184339. The reversal of 117184320 is 23481711.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 855292 + ... + 855428.

It is an arithmetic number, because the mean of its divisors is an integer number (1367028).

Almost surely, 2^117184320 is an apocalyptic number.

117184320 is a gapful number since it is divisible by the number (10) 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 117184320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229660704).

117184320 is an abundant number, since it is smaller than the sum of its proper divisors (342137088).

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

117184320 is a wasteful number, since it uses less digits than its factorization.

117184320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 158 counting only the distinct ones).

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

The square root of 117184320 is about 10825.1706684006. The cubic root of 117184320 is about 489.3540286957.

It can be divided in two parts, 1171 and 84320, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 117184320 in words is "one hundred seventeen million, one hundred eighty-four thousand, three hundred twenty".