12146616 has 48 divisors (see below), whose sum is σ = 33362160. Its totient is φ = 3991680.

The previous prime is 12146581. The next prime is 12146623. The reversal of 12146616 is 61664121.

12146616 is a `hidden beast` number, since 1 + 2 + 1 + 46 + 616 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12146616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4101 + ... + 6411.

It is an arithmetic number, because the mean of its divisors is an integer number (695045).

Almost surely, 2^12146616 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 12146616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16681080).

12146616 is an abundant number, since it is smaller than the sum of its proper divisors (21215544).

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

12146616 is a wasteful number, since it uses less digits than its factorization.

12146616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2389 counting only the distinct ones).

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

The square root of 12146616 is about 3485.1995638701. The cubic root of 12146616 is about 229.8714845995.

The spelling of 12146616 in words is "twelve million, one hundred forty-six thousand, six hundred sixteen".