11289760 has 48 divisors (see below), whose sum is σ = 27338472. Its totient is φ = 4403200.

The previous prime is 11289731. The next prime is 11289769. The reversal of 11289760 is 6798211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7463824 + 3825936 = 2732^2 + 1956^2 .

It is not an unprimeable number, because it can be changed into a prime (11289769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5700 + ... + 7420.

Almost surely, 2^11289760 is an apocalyptic number.

11289760 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 11289760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13669236).

11289760 is an abundant number, since it is smaller than the sum of its proper divisors (16048712).

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

11289760 is a wasteful number, since it uses less digits than its factorization.

11289760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 11289760 is about 3360.0238094395. The cubic root of 11289760 is about 224.3338982966. Note that the first 3 decimals are identical.

The spelling of 11289760 in words is "eleven million, two hundred eighty-nine thousand, seven hundred sixty".