11280576 has 56 divisors (see below), whose sum is σ = 30595824. Its totient is φ = 3665920.

The previous prime is 11280569. The next prime is 11280593. The reversal of 11280576 is 67508211.

11280576 = T₄₈₃ + T₄₈₄ + ... + T₅₆₄.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7156 + ... + 8588.

It is an arithmetic number, because the mean of its divisors is an integer number (546354).

Almost surely, 2^11280576 is an apocalyptic number.

11280576 is a gapful number since it is divisible by the number (16) 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 11280576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15297912).

11280576 is an abundant number, since it is smaller than the sum of its proper divisors (19315248).

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

11280576 is a wasteful number, since it uses less digits than its factorization.

11280576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 11280576 is about 3358.6568744068. The cubic root of 11280576 is about 224.2730513745.

Adding to 11280576 its reverse (67508211), we get a palindrome (78788787).

The spelling of 11280576 in words is "eleven million, two hundred eighty thousand, five hundred seventy-six".