114768 has 30 divisors (see below), whose sum is σ = 321594. Its totient is φ = 38208.

The previous prime is 114761. The next prime is 114769. The reversal of 114768 is 867411.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 97344 + 17424 = 312^2 + 132^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 114768.

It is not an unprimeable number, because it can be changed into a prime (114761) by changing a digit.

114768 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 5 ways as a sum of consecutive naturals, for example, 255 + ... + 542.

2¹¹⁴⁷⁶⁸ is an apocalyptic number.

114768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114768 is an abundant number, since it is smaller than the sum of its proper divisors (206826).

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

114768 is a wasteful number, since it uses less digits than its factorization.

114768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 802 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 114768 is about 338.7742611238. The cubic root of 114768 is about 48.5967177583.

The spelling of 114768 in words is "one hundred fourteen thousand, seven hundred sixty-eight".