12830616 has 64 divisors (see below), whose sum is σ = 35942400. Its totient is φ = 4240800.

The previous prime is 12830593. The next prime is 12830617. The reversal of 12830616 is 61603821.

12830616 is a `hidden beast` number, since 12 + 8 + 30 + 616 = 666.

12830616 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 zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12830616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12830617) 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, 41101 + ... + 41411.

It is an arithmetic number, because the mean of its divisors is an integer number (561600).

Almost surely, 2^12830616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12830616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17971200).

12830616 is an abundant number, since it is smaller than the sum of its proper divisors (23111784).

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

12830616 is a wasteful number, since it uses less digits than its factorization.

12830616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 507 counting only the distinct ones).

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

The square root of 12830616 is about 3581.9849245914. The cubic root of 12830616 is about 234.1077741546.

The spelling of 12830616 in words is "twelve million, eight hundred thirty thousand, six hundred sixteen".