1131688800 has 432 divisors, whose sum is σ = 4509242640. Its totient is φ = 273715200.

The previous prime is 1131688787. The next prime is 1131688829. The reversal of 1131688800 is 88861311.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2613384 + ... + 2613816.

Almost surely, 2^1131688800 is an apocalyptic number.

1131688800 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 1131688800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254621320).

1131688800 is an abundant number, since it is smaller than the sum of its proper divisors (3377553840).

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

1131688800 is a wasteful number, since it uses less digits than its factorization.

1131688800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1131688800 is about 33640.5826346691. The cubic root of 1131688800 is about 1042.0990642906.

The spelling of 1131688800 in words is "one billion, one hundred thirty-one million, six hundred eighty-eight thousand, eight hundred".