1143682800 has 240 divisors, whose sum is σ = 3978078720. Its totient is φ = 279198720.

The previous prime is 1143682753. The next prime is 1143682801. The reversal of 1143682800 is 82863411.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143682801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2604981 + ... + 2605419.

It is an arithmetic number, because the mean of its divisors is an integer number (16575328).

Almost surely, 2^1143682800 is an apocalyptic number.

1143682800 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 1143682800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989039360).

1143682800 is an abundant number, since it is smaller than the sum of its proper divisors (2834395920).

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

1143682800 is a wasteful number, since it uses less digits than its factorization.

1143682800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1143682800 is about 33818.3796181899. The cubic root of 1143682800 is about 1045.7676341996.

The spelling of 1143682800 in words is "one billion, one hundred forty-three million, six hundred eighty-two thousand, eight hundred".