1143564800 has 120 divisors (see below), whose sum is σ = 3238277856. Its totient is φ = 392048640.

The previous prime is 1143564791. The next prime is 1143564817. The reversal of 1143564800 is 84653411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83219 + ... + 95981.

Almost surely, 2^1143564800 is an apocalyptic number.

1143564800 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 1143564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619138928).

1143564800 is an abundant number, since it is smaller than the sum of its proper divisors (2094713056).

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

1143564800 is an equidigital number, since it uses as much as digits as its factorization.

1143564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12798 (or 12777 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 1143564800 is about 33816.6349597354. The cubic root of 1143564800 is about 1045.7316671101.

The spelling of 1143564800 in words is "one billion, one hundred forty-three million, five hundred sixty-four thousand, eight hundred".