12675936 has 96 divisors (see below), whose sum is σ = 40981248. Its totient is φ = 3340800.

The previous prime is 12675917. The next prime is 12675959. The reversal of 12675936 is 63957621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 12675894 and 12675903.

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, 8011 + ... + 9461.

It is an arithmetic number, because the mean of its divisors is an integer number (426888).

Almost surely, 2^12675936 is an apocalyptic number.

12675936 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 12675936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20490624).

12675936 is an abundant number, since it is smaller than the sum of its proper divisors (28305312).

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

12675936 is a wasteful number, since it uses less digits than its factorization.

12675936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1476 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 12675936 is about 3560.3280747706. The cubic root of 12675936 is about 233.1632029671.

The spelling of 12675936 in words is "twelve million, six hundred seventy-five thousand, nine hundred thirty-six".