11131264 has 64 divisors (see below), whose sum is σ = 24480000. Its totient is φ = 5018112.

The previous prime is 11131249. The next prime is 11131271. The reversal of 11131264 is 46213111.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

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, 55837 + ... + 56035.

It is an arithmetic number, because the mean of its divisors is an integer number (382500).

Almost surely, 2^11131264 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 11131264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12240000).

11131264 is an abundant number, since it is smaller than the sum of its proper divisors (13348736).

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

11131264 is a wasteful number, since it uses less digits than its factorization.

11131264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 243 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

The square root of 11131264 is about 3336.3548971894. The cubic root of 11131264 is about 223.2791452899.

Adding to 11131264 its reverse (46213111), we get a palindrome (57344375).

It can be divided in two parts, 111 and 31264, that added together give a triangular number (31375 = T₂₅₀).

The spelling of 11131264 in words is "eleven million, one hundred thirty-one thousand, two hundred sixty-four".