12643680 has 192 divisors, whose sum is σ = 47029248. Its totient is φ = 2795520.

The previous prime is 12643669. The next prime is 12643717. The reversal of 12643680 is 8634621.

12643680 = T₃₄₉ + T₃₅₀ + ... + T₄₉₀.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178045 + ... + 178115.

It is an arithmetic number, because the mean of its divisors is an integer number (244944).

Almost surely, 2^12643680 is an apocalyptic number.

12643680 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 12643680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23514624).

12643680 is an abundant number, since it is smaller than the sum of its proper divisors (34385568).

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

12643680 is a wasteful number, since it uses less digits than its factorization.

12643680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 12643680 is about 3555.7952696971. The cubic root of 12643680 is about 232.9652609583.

The spelling of 12643680 in words is "twelve million, six hundred forty-three thousand, six hundred eighty".