114864 has 20 divisors (see below), whose sum is σ = 296856. Its totient is φ = 38272.

The previous prime is 114859. The next prime is 114883. The reversal of 114864 is 468411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 114864.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1149 + ... + 1244.

2¹¹⁴⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

114864 is an abundant number, since it is smaller than the sum of its proper divisors (181992).

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

114864 is a wasteful number, since it uses less digits than its factorization.

114864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2398 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 114864 is about 338.9159187763. The cubic root of 114864 is about 48.6102638824.

The spelling of 114864 in words is "one hundred fourteen thousand, eight hundred sixty-four".