11809488 has 80 divisors (see below), whose sum is σ = 33569280. Its totient is φ = 3560832.

The previous prime is 11809453. The next prime is 11809493. The reversal of 11809488 is 88490811.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20695 + ... + 21257.

It is an arithmetic number, because the mean of its divisors is an integer number (419616).

Almost surely, 2^11809488 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 11809488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16784640).

11809488 is an abundant number, since it is smaller than the sum of its proper divisors (21759792).

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

11809488 is a wasteful number, since it uses less digits than its factorization.

11809488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 11809488 is about 3436.4935617574. The cubic root of 11809488 is about 227.7248141955.

The spelling of 11809488 in words is "eleven million, eight hundred nine thousand, four hundred eighty-eight".