114080 has 48 divisors (see below), whose sum is σ = 290304. Its totient is φ = 42240.

The previous prime is 114077. The next prime is 114083. The reversal of 114080 is 80411.

114080 = 45² + 46² + ... + 75².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114077) and next prime (114083).

It is not an unprimeable number, because it can be changed into a prime (114083) 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, 3665 + ... + 3695.

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

2¹¹⁴⁰⁸⁰ is an apocalyptic number.

114080 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 114080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152).

114080 is an abundant number, since it is smaller than the sum of its proper divisors (176224).

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

114080 is a wasteful number, since it uses less digits than its factorization.

114080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 114080 is about 337.7573093214. The cubic root of 114080 is about 48.4994154462.

Adding to 114080 its reverse (80411), we get a palindrome (194491).

The spelling of 114080 in words is "one hundred fourteen thousand, eighty".