1163248800 has 288 divisors, whose sum is σ = 4582956672. Its totient is φ = 250183680.

The previous prime is 1163248789. The next prime is 1163248831. The reversal of 1163248800 is 88423611.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283564 + ... + 287636.

It is an arithmetic number, because the mean of its divisors is an integer number (15913044).

Almost surely, 2^1163248800 is an apocalyptic number.

1163248800 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 1163248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291478336).

1163248800 is an abundant number, since it is smaller than the sum of its proper divisors (3419707872).

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

1163248800 is a wasteful number, since it uses less digits than its factorization.

1163248800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120 (or 4107 counting only the distinct ones).

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

The square root of 1163248800 is about 34106.4334107218. The cubic root of 1163248800 is about 1051.6975714585.

The spelling of 1163248800 in words is "one billion, one hundred sixty-three million, two hundred forty-eight thousand, eight hundred".