11815216 has 80 divisors (see below), whose sum is σ = 27998208. Its totient is φ = 4723200.

The previous prime is 11815213. The next prime is 11815241. The reversal of 11815216 is 61251811.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11815213) 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, 142311 + ... + 142393.

Almost surely, 2^11815216 is an apocalyptic number.

11815216 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 11815216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13999104).

11815216 is an abundant number, since it is smaller than the sum of its proper divisors (16182992).

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

11815216 is a wasteful number, since it uses less digits than its factorization.

11815216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its digits is 480, while the sum is 25.

The square root of 11815216 is about 3437.3268683673. The cubic root of 11815216 is about 227.7616263164.

The spelling of 11815216 in words is "eleven million, eight hundred fifteen thousand, two hundred sixteen".