12634820 has 72 divisors (see below), whose sum is σ = 30566592. Its totient is φ = 4375360.

The previous prime is 12634799. The next prime is 12634861. The reversal of 12634820 is 2843621.

It is a self number, because there is not a number n which added to its sum of digits gives 12634820.

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, 55547 + ... + 55773.

It is an arithmetic number, because the mean of its divisors is an integer number (424536).

Almost surely, 2^12634820 is an apocalyptic number.

12634820 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 12634820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15283296).

12634820 is an abundant number, since it is smaller than the sum of its proper divisors (17931772).

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

12634820 is a wasteful number, since it uses less digits than its factorization.

12634820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 12634820 is about 3554.5491978590. The cubic root of 12634820 is about 232.9108318013.

The spelling of 12634820 in words is "twelve million, six hundred thirty-four thousand, eight hundred twenty".