1114200 has 72 divisors (see below), whose sum is σ = 3747900. Its totient is φ = 296640.

The previous prime is 1114193. The next prime is 1114207. The reversal of 1114200 is 24111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1114193) and next prime (1114207).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114207) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1491 + ... + 2109.

2^1114200 is an apocalyptic number.

1114200 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 1114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873950).

1114200 is an abundant number, since it is smaller than the sum of its proper divisors (2633700).

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

1114200 is a wasteful number, since it uses less digits than its factorization.

1114200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1114200 is about 1055.5567251456. The cubic root of 1114200 is about 103.6703070214.

Adding to 1114200 its reverse (24111), we get a palindrome (1138311).

The spelling of 1114200 in words is "one million, one hundred fourteen thousand, two hundred".