11180864 has 28 divisors (see below), whose sum is σ = 22733508. Its totient is φ = 5452800.

The previous prime is 11180857. The next prime is 11180881. The reversal of 11180864 is 46808111.

11180864 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 5798464 + 5382400 = 2408^2 + 2320^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 494 + ... + 4754.

It is an arithmetic number, because the mean of its divisors is an integer number (811911).

Almost surely, 2^11180864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11180864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11366754).

11180864 is an abundant number, since it is smaller than the sum of its proper divisors (11552644).

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

11180864 is an equidigital number, since it uses as much as digits as its factorization.

11180864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4314 (or 4304 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 29.

The square root of 11180864 is about 3343.7798970626. The cubic root of 11180864 is about 223.6102917787.

Adding to 11180864 its reverse (46808111), we get a palindrome (57988975).

The spelling of 11180864 in words is "eleven million, one hundred eighty thousand, eight hundred sixty-four".