1114000 has 40 divisors (see below), whose sum is σ = 2698488. Its totient is φ = 444800.

The previous prime is 1113997. The next prime is 1114019. The reversal of 1114000 is 4111.

1114000 = T₁₉₁ + T₁₉₂ + ... + T₂₃₈.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 215296 + 898704 = 464^2 + 948^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1722 + ... + 2278.

2^1114000 is an apocalyptic number.

1114000 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 1114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349244).

1114000 is an abundant number, since it is smaller than the sum of its proper divisors (1584488).

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

1114000 is an equidigital number, since it uses as much as digits as its factorization.

1114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1114000 is about 1055.4619841567. The cubic root of 1114000 is about 103.6641036760.

Adding to 1114000 its reverse (4111), we get a palindrome (1118111).

The spelling of 1114000 in words is "one million, one hundred fourteen thousand".