12671904 has 96 divisors (see below), whose sum is σ = 38586240. Its totient is φ = 3566592.

The previous prime is 12671887. The next prime is 12671921. The reversal of 12671904 is 40917621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12671887) and next prime (12671921).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73162 + ... + 73334.

It is an arithmetic number, because the mean of its divisors is an integer number (401940).

Almost surely, 2^12671904 is an apocalyptic number.

12671904 is a gapful number since it is divisible by the number (14) 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 12671904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19293120).

12671904 is an abundant number, since it is smaller than the sum of its proper divisors (25914336).

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

12671904 is a wasteful number, since it uses less digits than its factorization.

12671904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 12671904 is about 3559.7617897831. The cubic root of 12671904 is about 233.1384785936.

The spelling of 12671904 in words is "twelve million, six hundred seventy-one thousand, nine hundred four".