1143887600 has 120 divisors (see below), whose sum is σ = 2935585920. Its totient is φ = 427392000.

The previous prime is 1143887581. The next prime is 1143887611. The reversal of 1143887600 is 67883411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358010 + ... + 361190.

It is an arithmetic number, because the mean of its divisors is an integer number (24463216).

Almost surely, 2^1143887600 is an apocalyptic number.

1143887600 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 1143887600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467792960).

1143887600 is an abundant number, since it is smaller than the sum of its proper divisors (1791698320).

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

1143887600 is a wasteful number, since it uses less digits than its factorization.

1143887600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3259 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 1143887600 is about 33821.4074219273. The cubic root of 1143887600 is about 1045.8300525638.

The spelling of 1143887600 in words is "one billion, one hundred forty-three million, eight hundred eighty-seven thousand, six hundred".