116816 has 30 divisors (see below), whose sum is σ = 265050. Its totient is φ = 49728.

The previous prime is 116803. The next prime is 116819. The reversal of 116816 is 618611.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 78400 + 38416 = 280^2 + 196^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 116791 and 116800.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 116816.

It is not an unprimeable number, because it can be changed into a prime (116819) by changing a digit.

116816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 710 + ... + 858.

It is an arithmetic number, because the mean of its divisors is an integer number (8835).

2¹¹⁶⁸¹⁶ is an apocalyptic number.

116816 is a gapful number since it is divisible by the number (16) 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 116816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132525).

116816 is an abundant number, since it is smaller than the sum of its proper divisors (148234).

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

116816 is a wasteful number, since it uses less digits than its factorization.

116816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 158 counting only the distinct ones).

The product of its digits is 288, while the sum is 23.

The square root of 116816 is about 341.7835572405. The cubic root of 116816 is about 48.8840797228.

The spelling of 116816 in words is "one hundred sixteen thousand, eight hundred sixteen".