11141760 has 128 divisors (see below), whose sum is σ = 40636800. Its totient is φ = 2543616.

The previous prime is 11141759. The next prime is 11141777. The reversal of 11141760 is 6714111.

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13026 + ... + 13854.

It is an arithmetic number, because the mean of its divisors is an integer number (317475).

Almost surely, 2^11141760 is an apocalyptic number.

11141760 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 11141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20318400).

11141760 is an abundant number, since it is smaller than the sum of its proper divisors (29495040).

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

11141760 is an equidigital number, since it uses as much as digits as its factorization.

11141760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 11141760 is about 3337.9275007106. The cubic root of 11141760 is about 223.3493020932.

Adding to 11141760 its reverse (6714111), we get a palindrome (17855871).

The spelling of 11141760 in words is "eleven million, one hundred forty-one thousand, seven hundred sixty".