12904680 has 64 divisors (see below), whose sum is σ = 39974400. Its totient is φ = 3329280.

The previous prime is 12904673. The next prime is 12904691. The reversal of 12904680 is 8640921.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1986 + ... + 5454.

It is an arithmetic number, because the mean of its divisors is an integer number (624600).

Almost surely, 2^12904680 is an apocalyptic number.

12904680 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 12904680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19987200).

12904680 is an abundant number, since it is smaller than the sum of its proper divisors (27069720).

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

12904680 is a wasteful number, since it uses less digits than its factorization.

12904680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514 (or 3510 counting only the distinct ones).

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

The square root of 12904680 is about 3592.3084500082. The cubic root of 12904680 is about 234.5573681063.

The spelling of 12904680 in words is "twelve million, nine hundred four thousand, six hundred eighty".