12641616 has 80 divisors (see below), whose sum is σ = 39094720. Its totient is φ = 3888000.

The previous prime is 12641609. The next prime is 12641617. The reversal of 12641616 is 61614621.

12641616 is a `hidden beast` number, since 1 + 2 + 6 + 41 + 616 = 666.

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

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

12641616 is a modest number, since divided by 1616 gives 1264 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 12641616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12641617) 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, 4491 + ... + 6741.

It is an arithmetic number, because the mean of its divisors is an integer number (488684).

Almost surely, 2^12641616 is an apocalyptic number.

12641616 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 12641616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19547360).

12641616 is an abundant number, since it is smaller than the sum of its proper divisors (26453104).

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

12641616 is a wasteful number, since it uses less digits than its factorization.

12641616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2269 counting only the distinct ones).

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

The square root of 12641616 is about 3555.5050274187. The cubic root of 12641616 is about 232.9525835715.

The spelling of 12641616 in words is "twelve million, six hundred forty-one thousand, six hundred sixteen".