11646816 has 24 divisors (see below), whose sum is σ = 30573144. Its totient is φ = 3882240.

The previous prime is 11646799. The next prime is 11646821. The reversal of 11646816 is 61864611.

11646816 is digitally balanced in base 2 and base 4, because in such bases 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 (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60565 + ... + 60756.

It is an arithmetic number, because the mean of its divisors is an integer number (1273881).

Almost surely, 2^11646816 is an apocalyptic number.

11646816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11646816 is an abundant number, since it is smaller than the sum of its proper divisors (18926328).

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

11646816 is a wasteful number, since it uses less digits than its factorization.

11646816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121334 (or 121326 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 11646816 is about 3412.7431781486. The cubic root of 11646816 is about 226.6743634449.

The spelling of 11646816 in words is "eleven million, six hundred forty-six thousand, eight hundred sixteen".