1130880 has 128 divisors (see below), whose sum is σ = 3916800. Its totient is φ = 276480.

The previous prime is 1130863. The next prime is 1130929. The reversal of 1130880 is 880311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an Ulam number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 36465 + ... + 36495.

It is an arithmetic number, because the mean of its divisors is an integer number (30600).

2^1130880 is an apocalyptic number.

1130880 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 1130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958400).

1130880 is an abundant number, since it is smaller than the sum of its proper divisors (2785920).

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

1130880 is a wasteful number, since it uses less digits than its factorization.

1130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1130880 is about 1063.4284179013. The cubic root of 1130880 is about 104.1850747912.

The spelling of 1130880 in words is "one million, one hundred thirty thousand, eight hundred eighty".