116766 has 24 divisors (see below), whose sum is σ = 273000. Its totient is φ = 35856.

The previous prime is 116747. The next prime is 116789. The reversal of 116766 is 667611.

It is a congruent number.

It is an unprimeable number.

116766 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 11 ways as a sum of consecutive naturals, for example, 16 + ... + 483.

It is an arithmetic number, because the mean of its divisors is an integer number (11375).

2¹¹⁶⁷⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136500).

116766 is an abundant number, since it is smaller than the sum of its proper divisors (156234).

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

116766 is a wasteful number, since it uses less digits than its factorization.

116766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 517 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 116766 is about 341.7104037047. The cubic root of 116766 is about 48.8771042149.

The spelling of 116766 in words is "one hundred sixteen thousand, seven hundred sixty-six".