12829630 has 48 divisors (see below), whose sum is σ = 26544672. Its totient is φ = 4452800.

The previous prime is 12829601. The next prime is 12829643. The reversal of 12829630 is 3692821.

It is a junction number, because it is equal to n+sod(n) for n = 12829592 and 12829601.

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, 27600 + ... + 28060.

It is an arithmetic number, because the mean of its divisors is an integer number (553014).

Almost surely, 2^12829630 is an apocalyptic number.

12829630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12829630 is an abundant number, since it is smaller than the sum of its proper divisors (13715042).

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

12829630 is a wasteful number, since it uses less digits than its factorization.

12829630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 12829630 is about 3581.8472887604. The cubic root of 12829630 is about 234.1017771399.

The spelling of 12829630 in words is "twelve million, eight hundred twenty-nine thousand, six hundred thirty".