12829680 has 120 divisors (see below), whose sum is σ = 43756128. Its totient is φ = 3368448.

The previous prime is 12829673. The next prime is 12829709. The reversal of 12829680 is 8692821.

12829680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 a congruent number.

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, 74074 + ... + 74246.

Almost surely, 2^12829680 is an apocalyptic number.

12829680 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 12829680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21878064).

12829680 is an abundant number, since it is smaller than the sum of its proper divisors (30926448).

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

12829680 is a wasteful number, since it uses less digits than its factorization.

12829680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 12829680 is about 3581.8542683923. The cubic root of 12829680 is about 234.1020812556.

The spelling of 12829680 in words is "twelve million, eight hundred twenty-nine thousand, six hundred eighty".