12824460 has 192 divisors, whose sum is σ = 46448640. Its totient is φ = 2903040.

The previous prime is 12824453. The next prime is 12824473. The reversal of 12824460 is 6442821.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100917 + ... + 101043.

It is an arithmetic number, because the mean of its divisors is an integer number (241920).

Almost surely, 2^12824460 is an apocalyptic number.

12824460 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 12824460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23224320).

12824460 is an abundant number, since it is smaller than the sum of its proper divisors (33624180).

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

12824460 is a wasteful number, since it uses less digits than its factorization.

12824460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 12824460 is about 3581.1255213969. The cubic root of 12824460 is about 234.0703273164.

The spelling of 12824460 in words is "twelve million, eight hundred twenty-four thousand, four hundred sixty".