11809264 has 40 divisors (see below), whose sum is σ = 24462720. Its totient is φ = 5510400.

The previous prime is 11809249. The next prime is 11809277. The reversal of 11809264 is 46290811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

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, 13974 + ... + 14794.

It is an arithmetic number, because the mean of its divisors is an integer number (611568).

Almost surely, 2^11809264 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 11809264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12231360).

11809264 is an abundant number, since it is smaller than the sum of its proper divisors (12653456).

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

11809264 is a wasteful number, since it uses less digits than its factorization.

11809264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 11809264 is about 3436.4609702425. The cubic root of 11809264 is about 227.7233743735.

The spelling of 11809264 in words is "eleven million, eight hundred nine thousand, two hundred sixty-four".