117382608 has 240 divisors, whose sum is σ = 411640320. Its totient is φ = 31632768.

The previous prime is 117382607. The next prime is 117382609. The reversal of 117382608 is 806283711.

117382608 is a `hidden beast` number, since 1 + 17 + 38 + 2 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (117382607) and next prime (117382609).

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 (117382607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516991 + ... + 517217.

It is an arithmetic number, because the mean of its divisors is an integer number (1715168).

Almost surely, 2^117382608 is an apocalyptic number.

117382608 is a gapful number since it is divisible by the number (18) 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 117382608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205820160).

117382608 is an abundant number, since it is smaller than the sum of its proper divisors (294257712).

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

117382608 is a wasteful number, since it uses less digits than its factorization.

117382608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 258 counting only the distinct ones).

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

The square root of 117382608 is about 10834.3254520067. The cubic root of 117382608 is about 489.6298857190.

The spelling of 117382608 in words is "one hundred seventeen million, three hundred eighty-two thousand, six hundred eight".