1811160 has 160 divisors (see below), whose sum is σ = 6708240. Its totient is φ = 435456.

The previous prime is 1811141. The next prime is 1811167. The reversal of 1811160 is 611181.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1811167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42099 + ... + 42141.

2^1811160 is an apocalyptic number.

1811160 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 1811160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354120).

1811160 is an abundant number, since it is smaller than the sum of its proper divisors (4897080).

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

1811160 is a wasteful number, since it uses less digits than its factorization.

1811160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 1811160 is about 1345.7934462613. The cubic root of 1811160 is about 121.8949198210.

The spelling of 1811160 in words is "one million, eight hundred eleven thousand, one hundred sixty".