11853264 has 80 divisors (see below), whose sum is σ = 33122880. Its totient is φ = 3640320.

The previous prime is 11853241. The next prime is 11853319. The reversal of 11853264 is 46235811.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 37234 + ... + 37550.

It is an arithmetic number, because the mean of its divisors is an integer number (414036).

Almost surely, 2^11853264 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 11853264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16561440).

11853264 is an abundant number, since it is smaller than the sum of its proper divisors (21269616).

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

11853264 is a wasteful number, since it uses less digits than its factorization.

11853264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 382 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 11853264 is about 3442.8569531713. The cubic root of 11853264 is about 228.0058478032.

The spelling of 11853264 in words is "eleven million, eight hundred fifty-three thousand, two hundred sixty-four".