12761616 has 80 divisors (see below), whose sum is σ = 39680000. Its totient is φ = 3452544.

The previous prime is 12761603. The next prime is 12761647. The reversal of 12761616 is 61616721.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5385 + ... + 7383.

It is an arithmetic number, because the mean of its divisors is an integer number (496000).

Almost surely, 2^12761616 is an apocalyptic number.

12761616 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 12761616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19840000).

12761616 is an abundant number, since it is smaller than the sum of its proper divisors (26918384).

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

12761616 is a wasteful number, since it uses less digits than its factorization.

12761616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2030 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 12761616 is about 3572.3404093115. The cubic root of 12761616 is about 233.6873609885.

The spelling of 12761616 in words is "twelve million, seven hundred sixty-one thousand, six hundred sixteen".