117587680 has 96 divisors (see below), whose sum is σ = 322430976. Its totient is φ = 39688704.

The previous prime is 117587641. The next prime is 117587683. The reversal of 117587680 is 86785711.

117587680 = T₂₂₅ + T₂₂₆ + ... + T₈₉₄.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117587683) 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, 74257 + ... + 75823.

It is an arithmetic number, because the mean of its divisors is an integer number (3358656).

Almost surely, 2^117587680 is an apocalyptic number.

117587680 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 117587680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161215488).

117587680 is an abundant number, since it is smaller than the sum of its proper divisors (204843296).

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

117587680 is a wasteful number, since it uses less digits than its factorization.

117587680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 43.

The square root of 117587680 is about 10843.7853169454. The cubic root of 117587680 is about 489.9148540099.

The spelling of 117587680 in words is "one hundred seventeen million, five hundred eighty-seven thousand, six hundred eighty".