117616320 has 112 divisors (see below), whose sum is σ = 414954720. Its totient is φ = 31362048.

The previous prime is 117616297. The next prime is 117616321. The reversal of 117616320 is 23616711.

117616320 is a `hidden beast` number, since 1 + 17 + 616 + 32 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (117616321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1834 + ... + 15446.

Almost surely, 2^117616320 is an apocalyptic number.

117616320 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 117616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207477360).

117616320 is an abundant number, since it is smaller than the sum of its proper divisors (297338400).

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

117616320 is a wasteful number, since it uses less digits than its factorization.

117616320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13639 (or 13623 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 117616320 is about 10845.1058086125. The cubic root of 117616320 is about 489.9546258137.

It can be divided in two parts, 11761 and 6320, that added together give a palindrome (18081).

The spelling of 117616320 in words is "one hundred seventeen million, six hundred sixteen thousand, three hundred twenty".