12868320 has 192 divisors, whose sum is σ = 45722880. Its totient is φ = 3022848.

The previous prime is 12868319. The next prime is 12868321. The reversal of 12868320 is 2386821.

It is an interprime number because it is at equal distance from previous prime (12868319) and next prime (12868321).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12868321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154999 + ... + 155081.

It is an arithmetic number, because the mean of its divisors is an integer number (238140).

Almost surely, 2^12868320 is an apocalyptic number.

12868320 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 12868320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22861440).

12868320 is an abundant number, since it is smaller than the sum of its proper divisors (32854560).

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

12868320 is a wasteful number, since it uses less digits than its factorization.

12868320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 12868320 is about 3587.2440675259. The cubic root of 12868320 is about 234.3368659735.

The spelling of 12868320 in words is "twelve million, eight hundred sixty-eight thousand, three hundred twenty".