1144800 has 144 divisors (see below), whose sum is σ = 4218480. Its totient is φ = 299520.

The previous prime is 1144783. The next prime is 1144823. The reversal of 1144800 is 84411.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 21574 + ... + 21626.

It is an arithmetic number, because the mean of its divisors is an integer number (29295).

2^1144800 is an apocalyptic number.

1144800 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 1144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109240).

1144800 is an abundant number, since it is smaller than the sum of its proper divisors (3073680).

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

1144800 is a wasteful number, since it uses less digits than its factorization.

1144800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1144800 is about 1069.9532700076. The cubic root of 1144800 is about 104.6108040759.

The spelling of 1144800 in words is "one million, one hundred forty-four thousand, eight hundred".