117013680 has 320 divisors, whose sum is σ = 471398400. Its totient is φ = 26127360.

The previous prime is 117013661. The next prime is 117013681. The reversal of 117013680 is 86310711.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (117013681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1073466 + ... + 1073574.

It is an arithmetic number, because the mean of its divisors is an integer number (1473120).

Almost surely, 2^117013680 is an apocalyptic number.

117013680 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 117013680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235699200).

117013680 is an abundant number, since it is smaller than the sum of its proper divisors (354384720).

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

117013680 is a wasteful number, since it uses less digits than its factorization.

117013680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 117013680 is about 10817.2861661324. The cubic root of 117013680 is about 489.1163861627.

The spelling of 117013680 in words is "one hundred seventeen million, thirteen thousand, six hundred eighty".