116686128 has 80 divisors (see below), whose sum is σ = 329590016. Its totient is φ = 35354880.

The previous prime is 116686127. The next prime is 116686151. The reversal of 116686128 is 821686611.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (116686121) 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, 40413 + ... + 43203.

Almost surely, 2^116686128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116686128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164795008).

116686128 is an abundant number, since it is smaller than the sum of its proper divisors (212903888).

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

116686128 is a wasteful number, since it uses less digits than its factorization.

116686128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2876 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 116686128 is about 10802.1353444585. The cubic root of 116686128 is about 488.6595712719.

The spelling of 116686128 in words is "one hundred sixteen million, six hundred eighty-six thousand, one hundred twenty-eight".