12862848 has 128 divisors (see below), whose sum is σ = 37699200. Its totient is φ = 3870720.

The previous prime is 12862847. The next prime is 12862849. The reversal of 12862848 is 84826821.

It is an interprime number because it is at equal distance from previous prime (12862847) and next prime (12862849).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×12862848² = 330905717342208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12862847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299115 + ... + 299157.

It is an arithmetic number, because the mean of its divisors is an integer number (294525).

Almost surely, 2^12862848 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 12862848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18849600).

12862848 is an abundant number, since it is smaller than the sum of its proper divisors (24836352).

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

12862848 is a wasteful number, since it uses less digits than its factorization.

12862848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 108 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 12862848 is about 3586.4812839328. The cubic root of 12862848 is about 234.3036455498.

The spelling of 12862848 in words is "twelve million, eight hundred sixty-two thousand, eight hundred forty-eight".