12705616 has 40 divisors (see below), whose sum is σ = 30694464. Its totient is φ = 4949760.

The previous prime is 12705587. The next prime is 12705617. The reversal of 12705616 is 61650721.

12705616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12705616² = 322865355878912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12705617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3925 + ... + 6388.

Almost surely, 2^12705616 is an apocalyptic number.

12705616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12705616 is an abundant number, since it is smaller than the sum of its proper divisors (17988848).

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

12705616 is a wasteful number, since it uses less digits than its factorization.

12705616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10339 (or 10333 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 12705616 is about 3564.4937929529. The cubic root of 12705616 is about 233.3450406824.

It can be divided in two parts, 1270 and 5616, that added together give a palindrome (6886).

The spelling of 12705616 in words is "twelve million, seven hundred five thousand, six hundred sixteen".