117289680 has 80 divisors (see below), whose sum is σ = 364809984. Its totient is φ = 31173120.

The previous prime is 117289661. The next prime is 117289687. The reversal of 117289680 is 86982711.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117289687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94665 + ... + 95895.

Almost surely, 2^117289680 is an apocalyptic number.

117289680 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 117289680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182404992).

117289680 is an abundant number, since it is smaller than the sum of its proper divisors (247520304).

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

117289680 is a wasteful number, since it uses less digits than its factorization.

117289680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 117289680 is about 10830.0360110205. The cubic root of 117289680 is about 489.5006435790.

The spelling of 117289680 in words is "one hundred seventeen million, two hundred eighty-nine thousand, six hundred eighty".