12771648 has 112 divisors (see below), whose sum is σ = 39624000. Its totient is φ = 4022784.

The previous prime is 12771643. The next prime is 12771653. The reversal of 12771648 is 84617721.

12771648 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 1 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (12771643) and next prime (12771653).

It is a super-2 number, since 2×12771648² = 326229985271808, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12771643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32638 + ... + 33026.

Almost surely, 2^12771648 is an apocalyptic number.

12771648 is a gapful number since it is divisible by the number (18) 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 12771648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19812000).

12771648 is an abundant number, since it is smaller than the sum of its proper divisors (26852352).

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

12771648 is a wasteful number, since it uses less digits than its factorization.

12771648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 413 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 12771648 is about 3573.7442549796. The cubic root of 12771648 is about 233.7485793998.

The spelling of 12771648 in words is "twelve million, seven hundred seventy-one thousand, six hundred forty-eight".