12971760 has 40 divisors (see below), whose sum is σ = 40213200. Its totient is φ = 3459072.

The previous prime is 12971743. The next prime is 12971797. The reversal of 12971760 is 6717921.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26785 + ... + 27264.

It is an arithmetic number, because the mean of its divisors is an integer number (1005330).

Almost surely, 2^12971760 is an apocalyptic number.

12971760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12971760 is an abundant number, since it is smaller than the sum of its proper divisors (27241440).

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

12971760 is a wasteful number, since it uses less digits than its factorization.

12971760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54065 (or 54059 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 12971760 is about 3601.6329629767. The cubic root of 12971760 is about 234.9630845892.

It can be divided in two parts, 12971 and 760, that added together give a palindrome (13731).

The spelling of 12971760 in words is "twelve million, nine hundred seventy-one thousand, seven hundred sixty".