12987936 has 72 divisors (see below), whose sum is σ = 39787020. Its totient is φ = 3995136.

The previous prime is 12987917. The next prime is 12987967. The reversal of 12987936 is 63978921.

It can be written as a sum of positive squares in 2 ways, for example, as 9960336 + 3027600 = 3156^2 + 1740^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12987891 and 12987900.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2010 + ... + 5478.

Almost surely, 2^12987936 is an apocalyptic number.

12987936 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 12987936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19893510).

12987936 is an abundant number, since it is smaller than the sum of its proper divisors (26799084).

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

12987936 is a wasteful number, since it uses less digits than its factorization.

12987936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498 (or 3487 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 12987936 is about 3603.8779113616. The cubic root of 12987936 is about 235.0607116416.

The spelling of 12987936 in words is "twelve million, nine hundred eighty-seven thousand, nine hundred thirty-six".