12695936 has 64 divisors (see below), whose sum is σ = 28200960. Its totient is φ = 5644800.

The previous prime is 12695911. The next prime is 12695959. The reversal of 12695936 is 63959621.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×12695936² = 322373581832192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12695893 and 12695902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99905 + ... + 100031.

It is an arithmetic number, because the mean of its divisors is an integer number (440640).

Almost surely, 2^12695936 is an apocalyptic number.

12695936 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 12695936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14100480).

12695936 is an abundant number, since it is smaller than the sum of its proper divisors (15505024).

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

12695936 is a wasteful number, since it uses less digits than its factorization.

12695936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 211 counting only the distinct ones).

The product of its digits is 87480, while the sum is 41.

The square root of 12695936 is about 3563.1356976686. The cubic root of 12695936 is about 233.2857662674.

It can be divided in two parts, 12695 and 936, that added together give a palindrome (13631).

The spelling of 12695936 in words is "twelve million, six hundred ninety-five thousand, nine hundred thirty-six".