116508 has 48 divisors (see below), whose sum is σ = 331520. Its totient is φ = 31104.

The previous prime is 116507. The next prime is 116531. The reversal of 116508 is 805611.

116508 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×116508² = 27148228128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

116508 is an undulating number in base 8.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116507) 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, 1560 + ... + 1632.

2¹¹⁶⁵⁰⁸ 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 116508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165760).

116508 is an abundant number, since it is smaller than the sum of its proper divisors (215012).

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

116508 is a wasteful number, since it uses less digits than its factorization.

116508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 116508 is about 341.3326822910. The cubic root of 116508 is about 48.8410789108.

The spelling of 116508 in words is "one hundred sixteen thousand, five hundred eight".