1132880 has 90 divisors (see below), whose sum is σ = 3254814. Its totient is φ = 365568.

The previous prime is 1132877. The next prime is 1132883. The reversal of 1132880 is 882311.

It is an interprime number because it is at equal distance from previous prime (1132877) and next prime (1132883).

It can be written as a sum of positive squares in 3 ways, for example, as 379456 + 753424 = 616^2 + 868^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 66632 + ... + 66648.

2^1132880 is an apocalyptic number.

1132880 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 1132880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627407).

1132880 is an abundant number, since it is smaller than the sum of its proper divisors (2121934).

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

1132880 is a wasteful number, since it uses less digits than its factorization.

1132880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 1132880 is about 1064.3683572899. The cubic root of 1132880 is about 104.2464569106.

The spelling of 1132880 in words is "one million, one hundred thirty-two thousand, eight hundred eighty".