11280640 has 72 divisors (see below), whose sum is σ = 30905280. Its totient is φ = 3864576.

The previous prime is 11280637. The next prime is 11280653. The reversal of 11280640 is 4608211.

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, 8331 + ... + 9589.

It is an arithmetic number, because the mean of its divisors is an integer number (429240).

Almost surely, 2^11280640 is an apocalyptic number.

11280640 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 11280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15452640).

11280640 is an abundant number, since it is smaller than the sum of its proper divisors (19624640).

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

11280640 is an equidigital number, since it uses as much as digits as its factorization.

11280640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 11280640 is about 3358.6664020114. Note that the first 3 decimals coincide. The cubic root of 11280640 is about 224.2734755091.

Adding to 11280640 its reverse (4608211), we get a palindrome (15888851).

The spelling of 11280640 in words is "eleven million, two hundred eighty thousand, six hundred forty".