11264576 has 56 divisors (see below), whose sum is σ = 23628096. Its totient is φ = 5322240.

The previous prime is 11264521. The next prime is 11264579. The reversal of 11264576 is 67546211.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (11264579) 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, 158621 + ... + 158691.

Almost surely, 2^11264576 is an apocalyptic number.

11264576 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 11264576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11814048).

11264576 is an abundant number, since it is smaller than the sum of its proper divisors (12363520).

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

11264576 is an equidigital number, since it uses as much as digits as its factorization.

11264576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 177 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The square root of 11264576 is about 3356.2741246805. The cubic root of 11264576 is about 224.1669673500.

The spelling of 11264576 in words is "eleven million, two hundred sixty-four thousand, five hundred seventy-six".