11451264 has 64 divisors (see below), whose sum is σ = 33194880. Its totient is φ = 3468800.

The previous prime is 11451257. The next prime is 11451277. The reversal of 11451264 is 46215411.

It is a happy number.

11451264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×11451264² = 262262894395392, 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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2869 + ... + 5579.

It is an arithmetic number, because the mean of its divisors is an integer number (518670).

Almost surely, 2^11451264 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 11451264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16597440).

11451264 is an abundant number, since it is smaller than the sum of its proper divisors (21743616).

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

11451264 is a wasteful number, since it uses less digits than its factorization.

11451264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739 (or 2727 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 11451264 is about 3383.9716310868. The cubic root of 11451264 is about 225.3985627090.

Adding to 11451264 its reverse (46215411), we get a palindrome (57666675).

The spelling of 11451264 in words is "eleven million, four hundred fifty-one thousand, two hundred sixty-four".