114580 has 24 divisors (see below), whose sum is σ = 255528. Its totient is φ = 43008.

The previous prime is 114577. The next prime is 114593. The reversal of 114580 is 85411.

It can be written as a sum of positive squares in 4 ways, for example, as 13456 + 101124 = 116^2 + 318^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172 + ... + 508.

It is an arithmetic number, because the mean of its divisors is an integer number (10647).

2¹¹⁴⁵⁸⁰ is an apocalyptic number.

114580 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 114580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127764).

114580 is an abundant number, since it is smaller than the sum of its proper divisors (140948).

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

114580 is a wasteful number, since it uses less digits than its factorization.

114580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 114580 is about 338.4966764977. The cubic root of 114580 is about 48.5701680345.

Adding to 114580 its reverse (85411), we get a palindrome (199991).

It can be divided in two parts, 1145 and 80, that added together give a triangular number (1225 = T₄₉).

The spelling of 114580 in words is "one hundred fourteen thousand, five hundred eighty".