1131760 has 80 divisors (see below), whose sum is σ = 3142656. Its totient is φ = 370944.

The previous prime is 1131751. The next prime is 1131763. The reversal of 1131760 is 671311.

It is a happy number.

1131760 is a nontrivial binomial coefficient, being equal to C(1505, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24057 + ... + 24103.

2^1131760 is an apocalyptic number.

1131760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1131760 is the 1504-th triangular number.

1131760 is the 502-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571328).

1131760 is an abundant number, since it is smaller than the sum of its proper divisors (2010896).

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

1131760 is a wasteful number, since it uses less digits than its factorization.

1131760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 1131760 is about 1063.8420935458. The cubic root of 1131760 is about 104.2120918325.

It can be divided in two parts, 1131 and 760, that added together give a triangular number (1891 = T₆₁).

The spelling of 1131760 in words is "one million, one hundred thirty-one thousand, seven hundred sixty".