116820 has 72 divisors (see below), whose sum is σ = 393120. Its totient is φ = 27840.

The previous prime is 116819. The next prime is 116827. The reversal of 116820 is 28611.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 116793 and 116802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1951 + ... + 2009.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

2¹¹⁶⁸²⁰ is an apocalyptic number.

116820 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 116820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560).

116820 is an abundant number, since it is smaller than the sum of its proper divisors (276300).

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

116820 is a wasteful number, since it uses less digits than its factorization.

116820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 116820 is about 341.7894088470. The cubic root of 116820 is about 48.8846376775.

Subtracting from 116820 its reverse (28611), we obtain a square (88209 = 297²).

The spelling of 116820 in words is "one hundred sixteen thousand, eight hundred twenty".