114600 has 48 divisors (see below), whose sum is σ = 357120. Its totient is φ = 30400.

The previous prime is 114599. The next prime is 114601. The reversal of 114600 is 6411.

It is an interprime number because it is at equal distance from previous prime (114599) and next prime (114601).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114601) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 505 + ... + 695.

It is an arithmetic number, because the mean of its divisors is an integer number (7440).

2¹¹⁴⁶⁰⁰ is an apocalyptic number.

114600 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 114600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560).

114600 is an abundant number, since it is smaller than the sum of its proper divisors (242520).

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

114600 is a wasteful number, since it uses less digits than its factorization.

114600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 114600 is about 338.5262175962. The cubic root of 114600 is about 48.5729938530.

The spelling of 114600 in words is "one hundred fourteen thousand, six hundred".