115940 has 48 divisors (see below), whose sum is σ = 290304. Its totient is φ = 38400.

The previous prime is 115933. The next prime is 115963. The reversal of 115940 is 49511.

115940 = T₂₁ + T₂₂ + ... + T₈₈.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 115940.

It is an unprimeable number.

115940 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 15 ways as a sum of consecutive naturals, for example, 3725 + ... + 3755.

It is an arithmetic number, because the mean of its divisors is an integer number (6048).

2¹¹⁵⁹⁴⁰ is an apocalyptic number.

115940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 340×341.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152).

115940 is an abundant number, since it is smaller than the sum of its proper divisors (174364).

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

115940 is a wasteful number, since it uses less digits than its factorization.

115940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 115940 is about 340.4996328926. The cubic root of 115940 is about 48.7615795417.

It can be divided in two parts, 1159 and 40, that multiplied together give a triangular number (46360 = T₃₀₄).

The spelling of 115940 in words is "one hundred fifteen thousand, nine hundred forty".