116610 has 48 divisors (see below), whose sum is σ = 316224. Its totient is φ = 27456.

The previous prime is 116593. The next prime is 116639. The reversal of 116610 is 16611.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 116610.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5059 + ... + 5081.

It is an arithmetic number, because the mean of its divisors is an integer number (6588).

2¹¹⁶⁶¹⁰ is an apocalyptic number.

116610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158112).

116610 is an abundant number, since it is smaller than the sum of its proper divisors (199614).

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

116610 is a wasteful number, since it uses less digits than its factorization.

116610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 116610 is about 341.4820639507. The cubic root of 116610 is about 48.8553278234.

Subtracting from 116610 its reverse (16611), we obtain a palindrome (99999).

It can be divided in two parts, 1166 and 10, that added together give a triangular number (1176 = T₄₈).

The spelling of 116610 in words is "one hundred sixteen thousand, six hundred ten".