12991680 has 168 divisors, whose sum is σ = 48262032. Its totient is φ = 3188736.

The previous prime is 12991679. The next prime is 12991703. The reversal of 12991680 is 8619921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37267 + ... + 37613.

It is an arithmetic number, because the mean of its divisors is an integer number (287274).

Almost surely, 2^12991680 is an apocalyptic number.

12991680 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 12991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131016).

12991680 is an abundant number, since it is smaller than the sum of its proper divisors (35270352).

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

12991680 is a wasteful number, since it uses less digits than its factorization.

12991680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 12991680 is about 3604.3973143925. The cubic root of 12991680 is about 235.0832962604.

It can be divided in two parts, 129 and 91680, that added together give a square (91809 = 303²).

The spelling of 12991680 in words is "twelve million, nine hundred ninety-one thousand, six hundred eighty".