114880 has 28 divisors (see below), whose sum is σ = 274320. Its totient is φ = 45824.

The previous prime is 114859. The next prime is 114883. The reversal of 114880 is 88411.

114880 = T₂₅ + T₂₆ + ... + T₈₈.

It is an Ulam number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (114883) by changing a digit.

114880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 141 + ... + 499.

2¹¹⁴⁸⁸⁰ is an apocalyptic number.

114880 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 114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137160).

114880 is an abundant number, since it is smaller than the sum of its proper divisors (159440).

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

114880 is an equidigital number, since it uses as much as digits as its factorization.

114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 114880 is about 338.9395226290. The cubic root of 114880 is about 48.6125208359.

The spelling of 114880 in words is "one hundred fourteen thousand, eight hundred eighty".