1114800 has 60 divisors (see below), whose sum is σ = 3574920. Its totient is φ = 296960.

The previous prime is 1114759. The next prime is 1114801. The reversal of 1114800 is 84111.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1114800.

It is not an unprimeable number, because it can be changed into a prime (1114801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 736 + ... + 1664.

It is an arithmetic number, because the mean of its divisors is an integer number (59582).

2^1114800 is an apocalyptic number.

1114800 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 1114800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787460).

1114800 is an abundant number, since it is smaller than the sum of its proper divisors (2460120).

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

1114800 is a wasteful number, since it uses less digits than its factorization.

1114800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1114800 is about 1055.8408971052. The cubic root of 1114800 is about 103.6889126045.

Adding to 1114800 its reverse (84111), we get a palindrome (1198911).

The spelling of 1114800 in words is "one million, one hundred fourteen thousand, eight hundred".