12824160 has 48 divisors (see below), whose sum is σ = 40397616. Its totient is φ = 3419648.

The previous prime is 12824153. The next prime is 12824167. The reversal of 12824160 is 6142821.

It is an interprime number because it is at equal distance from previous prime (12824153) and next prime (12824167).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12824160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12824167) by changing a digit.

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, 12879 + ... + 13838.

It is an arithmetic number, because the mean of its divisors is an integer number (841617).

Almost surely, 2^12824160 is an apocalyptic number.

12824160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12824160 is an abundant number, since it is smaller than the sum of its proper divisors (27573456).

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

12824160 is a wasteful number, since it uses less digits than its factorization.

12824160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26735 (or 26727 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12824160 is about 3581.0836348793. The cubic root of 12824160 is about 234.0685021155.

Adding to 12824160 its reverse (6142821), we get a palindrome (18966981).

The spelling of 12824160 in words is "twelve million, eight hundred twenty-four thousand, one hundred sixty".