12946080 has 96 divisors (see below), whose sum is σ = 46617984. Its totient is φ = 2958336.

The previous prime is 12946067. The next prime is 12946081. The reversal of 12946080 is 8064921.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12946081) 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, 1434 + ... + 5286.

It is an arithmetic number, because the mean of its divisors is an integer number (485604).

Almost surely, 2^12946080 is an apocalyptic number.

12946080 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 12946080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23308992).

12946080 is an abundant number, since it is smaller than the sum of its proper divisors (33671904).

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

12946080 is a wasteful number, since it uses less digits than its factorization.

12946080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 12946080 is about 3598.0661472519. The cubic root of 12946080 is about 234.8079311866.

The spelling of 12946080 in words is "twelve million, nine hundred forty-six thousand, eighty".