12827424 has 48 divisors (see below), whose sum is σ = 34503840. Its totient is φ = 4170240.

The previous prime is 12827411. The next prime is 12827443. The reversal of 12827424 is 42472821.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12827391 and 12827400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2307 + ... + 5565.

It is an arithmetic number, because the mean of its divisors is an integer number (718830).

Almost surely, 2^12827424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12827424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17251920).

12827424 is an abundant number, since it is smaller than the sum of its proper divisors (21676416).

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

12827424 is a wasteful number, since it uses less digits than its factorization.

12827424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3305 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 12827424 is about 3581.5393338619. The cubic root of 12827424 is about 234.0883587711.

The spelling of 12827424 in words is "twelve million, eight hundred twenty-seven thousand, four hundred twenty-four".