12892320 has 144 divisors (see below), whose sum is σ = 50319360. Its totient is φ = 2944512.

The previous prime is 12892301. The next prime is 12892331. The reversal of 12892320 is 2329821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9441 + ... + 10719.

It is an arithmetic number, because the mean of its divisors is an integer number (349440).

Almost surely, 2^12892320 is an apocalyptic number.

12892320 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 12892320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25159680).

12892320 is an abundant number, since it is smaller than the sum of its proper divisors (37427040).

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

12892320 is a wasteful number, since it uses less digits than its factorization.

12892320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12892320 is about 3590.5876956287. The cubic root of 12892320 is about 234.4824584572.

The spelling of 12892320 in words is "twelve million, eight hundred ninety-two thousand, three hundred twenty".