12671920 has 40 divisors (see below), whose sum is σ = 29685600. Its totient is φ = 5030400.

The previous prime is 12671887. The next prime is 12671921. The reversal of 12671920 is 2917621.

It is a happy number.

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

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12671921) 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 7 ways as a sum of consecutive naturals, for example, 11556 + ... + 12604.

It is an arithmetic number, because the mean of its divisors is an integer number (742140).

Almost surely, 2^12671920 is an apocalyptic number.

12671920 is a gapful number since it is divisible by the number (10) 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 12671920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14842800).

12671920 is an abundant number, since it is smaller than the sum of its proper divisors (17013680).

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

12671920 is a wasteful number, since it uses less digits than its factorization.

12671920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 12671920 is about 3559.7640371238. The cubic root of 12671920 is about 233.1385767165.

The spelling of 12671920 in words is "twelve million, six hundred seventy-one thousand, nine hundred twenty".