12842816 has 56 divisors (see below), whose sum is σ = 29504640. Its totient is φ = 5432832.

The previous prime is 12842813. The next prime is 12842821. The reversal of 12842816 is 61824821.

It is a happy number.

12842816 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 (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12842813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48701 + ... + 48963.

Almost surely, 2^12842816 is an apocalyptic number.

12842816 is a gapful number since it is divisible by the number (16) 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 12842816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14752320).

12842816 is an abundant number, since it is smaller than the sum of its proper divisors (16661824).

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

12842816 is a wasteful number, since it uses less digits than its factorization.

12842816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 381 counting only the distinct ones).

The product of its digits is 6144, while the sum is 32.

The square root of 12842816 is about 3583.6874863749. The cubic root of 12842816 is about 234.1819511616.

The spelling of 12842816 in words is "twelve million, eight hundred forty-two thousand, eight hundred sixteen".