11259264 has 64 divisors (see below), whose sum is σ = 30294000. Its totient is φ = 3704832.

The previous prime is 11259263. The next prime is 11259277. The reversal of 11259264 is 46295211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11259263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41722 + ... + 41990.

Almost surely, 2^11259264 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 11259264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15147000).

11259264 is an abundant number, since it is smaller than the sum of its proper divisors (19034736).

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

11259264 is a wasteful number, since it uses less digits than its factorization.

11259264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 383 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 11259264 is about 3355.4826776486. The cubic root of 11259264 is about 224.1317252437.

The spelling of 11259264 in words is "eleven million, two hundred fifty-nine thousand, two hundred sixty-four".