1132800 has 108 divisors (see below), whose sum is σ = 3801840. Its totient is φ = 296960.

The previous prime is 1132793. The next prime is 1132811. The reversal of 1132800 is 82311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1132800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19171 + ... + 19229.

2^1132800 is an apocalyptic number.

1132800 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 1132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900920).

1132800 is an abundant number, since it is smaller than the sum of its proper divisors (2669040).

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

1132800 is an equidigital number, since it uses as much as digits as its factorization.

1132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1132800 is about 1064.3307756520. The cubic root of 1132800 is about 104.2440030135.

The spelling of 1132800 in words is "one million, one hundred thirty-two thousand, eight hundred".