117606816 has 180 divisors, whose sum is σ = 369761238. Its totient is φ = 36661248.

The previous prime is 117606809. The next prime is 117606821. The reversal of 117606816 is 618606711.

It can be written as a sum of positive squares in 3 ways, for example, as 112784400 + 4822416 = 10620^2 + 2196^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 749010 + ... + 749166.

Almost surely, 2^117606816 is an apocalyptic number.

117606816 is a gapful number since it is divisible by the number (16) 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 117606816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184880619).

117606816 is an abundant number, since it is smaller than the sum of its proper divisors (252154422).

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

117606816 is a wasteful number, since it uses less digits than its factorization.

117606816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 179 counting only the distinct ones).

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

The square root of 117606816 is about 10844.6676297616. The cubic root of 117606816 is about 489.9414285120.

The spelling of 117606816 in words is "one hundred seventeen million, six hundred six thousand, eight hundred sixteen".