11427264 has 112 divisors (see below), whose sum is σ = 35661600. Its totient is φ = 3575808.

The previous prime is 11427263. The next prime is 11427287. The reversal of 11427264 is 46272411.

11427264 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11427263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29182 + ... + 29570.

Almost surely, 2^11427264 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 11427264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17830800).

11427264 is an abundant number, since it is smaller than the sum of its proper divisors (24234336).

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

11427264 is a wasteful number, since it uses less digits than its factorization.

11427264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 411 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 11427264 is about 3380.4236420898. The cubic root of 11427264 is about 225.2409862440.

Adding to 11427264 its reverse (46272411), we get a palindrome (57699675).

The spelling of 11427264 in words is "eleven million, four hundred twenty-seven thousand, two hundred sixty-four".