12360816 has 160 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 3628800.

The previous prime is 12360797. The next prime is 12360827. The reversal of 12360816 is 61806321.

12360816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 12360816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174061 + ... + 174131.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 2^12360816 is an apocalyptic number.

12360816 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 12360816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

12360816 is an abundant number, since it is smaller than the sum of its proper divisors (27636624).

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

12360816 is a wasteful number, since it uses less digits than its factorization.

12360816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12360816 is about 3515.7952158793. The cubic root of 12360816 is about 231.2148448142.

The spelling of 12360816 in words is "twelve million, three hundred sixty thousand, eight hundred sixteen".