115820 has 12 divisors (see below), whose sum is σ = 243264. Its totient is φ = 46320.

The previous prime is 115811. The next prime is 115823. The reversal of 115820 is 28511.

115820 = T₈₆ + T₈₇ + ... + T₁₀₉.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 115820.

It is not an unprimeable number, because it can be changed into a prime (115823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2876 + ... + 2915.

It is an arithmetic number, because the mean of its divisors is an integer number (20272).

2¹¹⁵⁸²⁰ is an apocalyptic number.

115820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115820 is an abundant number, since it is smaller than the sum of its proper divisors (127444).

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

115820 is a wasteful number, since it uses less digits than its factorization.

115820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5800 (or 5798 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 115820 is about 340.3233756297. The cubic root of 115820 is about 48.7447506949.

The spelling of 115820 in words is "one hundred fifteen thousand, eight hundred twenty".