116680 has 16 divisors (see below), whose sum is σ = 262620. Its totient is φ = 46656.

The previous prime is 116663. The next prime is 116681. The reversal of 116680 is 86611.

It can be written as a sum of positive squares in 2 ways, for example, as 106276 + 10404 = 326^2 + 102^2 .

It is a super-2 number, since 2×116680² = 27228444800, which contains 22 as substring.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (116681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1419 + ... + 1498.

2¹¹⁶⁶⁸⁰ is an apocalyptic number.

116680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116680 is an abundant number, since it is smaller than the sum of its proper divisors (145940).

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

116680 is a wasteful number, since it uses less digits than its factorization.

116680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 116680 is about 341.5845429758. The cubic root of 116680 is about 48.8651016818.

The spelling of 116680 in words is "one hundred sixteen thousand, six hundred eighty".