117017680 has 80 divisors (see below), whose sum is σ = 301011984. Its totient is φ = 42024960.

The previous prime is 117017669. The next prime is 117017683. The reversal of 117017680 is 86710711.

It can be written as a sum of positive squares in 8 ways, for example, as 9024016 + 107993664 = 3004^2 + 10392^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117017683) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 36960 + ... + 40000.

Almost surely, 2^117017680 is an apocalyptic number.

117017680 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 117017680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150505992).

117017680 is an abundant number, since it is smaller than the sum of its proper divisors (183994304).

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

117017680 is a wasteful number, since it uses less digits than its factorization.

117017680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3104 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 31.

The square root of 117017680 is about 10817.4710538092. The cubic root of 117017680 is about 489.1219594234.

The spelling of 117017680 in words is "one hundred seventeen million, seventeen thousand, six hundred eighty".