12706956 has 72 divisors (see below), whose sum is σ = 35315280. Its totient is φ = 3981312.

The previous prime is 12706951. The next prime is 12706957. The reversal of 12706956 is 65960721.

It is a super-2 number, since 2×12706956² = 322933461571872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12706956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12706951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16140 + ... + 16908.

It is an arithmetic number, because the mean of its divisors is an integer number (490490).

Almost surely, 2^12706956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12706956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17657640).

12706956 is an abundant number, since it is smaller than the sum of its proper divisors (22608324).

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

12706956 is a wasteful number, since it uses less digits than its factorization.

12706956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 12706956 is about 3564.6817529760. The cubic root of 12706956 is about 233.3532436525.

The spelling of 12706956 in words is "twelve million, seven hundred six thousand, nine hundred fifty-six".