12970656 has 72 divisors (see below), whose sum is σ = 38181780. Its totient is φ = 4171776.

The previous prime is 12970651. The next prime is 12970663. The reversal of 12970656 is 65607921.

It can be written as a sum of positive squares in 2 ways, for example, as 12362256 + 608400 = 3516^2 + 780^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 12970656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12970651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7576 + ... + 9128.

Almost surely, 2^12970656 is an apocalyptic number.

12970656 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 12970656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19090890).

12970656 is an abundant number, since it is smaller than the sum of its proper divisors (25211124).

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

12970656 is a wasteful number, since it uses less digits than its factorization.

12970656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1587 counting only the distinct ones).

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

The square root of 12970656 is about 3601.4796959028. The cubic root of 12970656 is about 234.9564186573.

The spelling of 12970656 in words is "twelve million, nine hundred seventy thousand, six hundred fifty-six".