116301680 has 80 divisors (see below), whose sum is σ = 296659584. Its totient is φ = 42051840.

The previous prime is 116301637. The next prime is 116301683. The reversal of 116301680 is 86103611.

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 (116301683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248807 + ... + 249273.

Almost surely, 2^116301680 is an apocalyptic number.

116301680 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 116301680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148329792).

116301680 is an abundant number, since it is smaller than the sum of its proper divisors (180357904).

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

116301680 is a wasteful number, since it uses less digits than its factorization.

116301680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 116301680 is about 10784.3256627385. The cubic root of 116301680 is about 488.1223154830.

The spelling of 116301680 in words is "one hundred sixteen million, three hundred one thousand, six hundred eighty".