11580816 has 80 divisors (see below), whose sum is σ = 32817344. Its totient is φ = 3497472.

The previous prime is 11580809. The next prime is 11580817. The reversal of 11580816 is 61808511.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11580817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41670 + ... + 41946.

Almost surely, 2^11580816 is an apocalyptic number.

11580816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11580816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16408672).

11580816 is an abundant number, since it is smaller than the sum of its proper divisors (21236528).

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

11580816 is a wasteful number, since it uses less digits than its factorization.

11580816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 30.

The square root of 11580816 is about 3403.0597996509. The cubic root of 11580816 is about 226.2453804903.

The spelling of 11580816 in words is "eleven million, five hundred eighty thousand, eight hundred sixteen".