11986816 has 32 divisors (see below), whose sum is σ = 24535080. Its totient is φ = 5829120.

The previous prime is 11986811. The next prime is 11986823. The reversal of 11986816 is 61868911.

11986816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11986811) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3471 + ... + 6001.

Almost surely, 2^11986816 is an apocalyptic number.

11986816 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 11986816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12267540).

11986816 is an abundant number, since it is smaller than the sum of its proper divisors (12548264).

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

11986816 is an equidigital number, since it uses as much as digits as its factorization.

11986816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 2570 counting only the distinct ones).

The product of its digits is 20736, while the sum is 40.

The square root of 11986816 is about 3462.1981456872. The cubic root of 11986816 is about 228.8589738276.

The spelling of 11986816 in words is "eleven million, nine hundred eighty-six thousand, eight hundred sixteen".