11004864 has 56 divisors (see below), whose sum is σ = 31363920. Its totient is φ = 3385344.

The previous prime is 11004863. The next prime is 11004869. The reversal of 11004864 is 46840011.

It is a super-2 number, since 2×11004864² = 242214063316992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11004863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292 + ... + 4700.

It is an arithmetic number, because the mean of its divisors is an integer number (560070).

Almost surely, 2^11004864 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 11004864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15681960).

11004864 is an abundant number, since it is smaller than the sum of its proper divisors (20359056).

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

11004864 is a wasteful number, since it uses less digits than its factorization.

11004864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437 (or 4427 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 11004864 is about 3317.3579849030. The cubic root of 11004864 is about 222.4307843452.

Adding to 11004864 its reverse (46840011), we get a palindrome (57844875).

The spelling of 11004864 in words is "eleven million, four thousand, eight hundred sixty-four".