116920 has 32 divisors (see below), whose sum is σ = 273600. Its totient is φ = 44928.

The previous prime is 116911. The next prime is 116923. The reversal of 116920 is 29611.

116920 = T₁₅ + T₁₆ + ... + T₈₈.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1441 + ... + 1519.

It is an arithmetic number, because the mean of its divisors is an integer number (8550).

2¹¹⁶⁹²⁰ is an apocalyptic number.

116920 is a gapful number since it is divisible by the number (10) 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 116920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136800).

116920 is an abundant number, since it is smaller than the sum of its proper divisors (156680).

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

116920 is a wasteful number, since it uses less digits than its factorization.

116920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 116920 is about 341.9356664637. The cubic root of 116920 is about 48.8985824060.

The spelling of 116920 in words is "one hundred sixteen thousand, nine hundred twenty".