1132160 has 64 divisors (see below), whose sum is σ = 2845800. Its totient is φ = 430080.

The previous prime is 1132141. The next prime is 1132177. The reversal of 1132160 is 612311.

It can be written as a sum of positive squares in 4 ways, for example, as 602176 + 529984 = 776^2 + 728^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18530 + ... + 18590.

2^1132160 is an apocalyptic number.

1132160 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 1132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422900).

1132160 is an abundant number, since it is smaller than the sum of its proper divisors (1713640).

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

1132160 is an equidigital number, since it uses as much as digits as its factorization.

1132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1132160 is about 1064.0300747629. The cubic root of 1132160 is about 104.2243676762.

Adding to 1132160 its reverse (612311), we get a palindrome (1744471).

The spelling of 1132160 in words is "one million, one hundred thirty-two thousand, one hundred sixty".