12858320 has 40 divisors (see below), whose sum is σ = 30222024. Its totient is φ = 5087232.

The previous prime is 12858319. The next prime is 12858323. The reversal of 12858320 is 2385821.

It can be written as a sum of positive squares in 4 ways, for example, as 524176 + 12334144 = 724^2 + 3512^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12858323) 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, 6932 + ... + 8588.

Almost surely, 2^12858320 is an apocalyptic number.

12858320 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 12858320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15111012).

12858320 is an abundant number, since it is smaller than the sum of its proper divisors (17363704).

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

12858320 is a wasteful number, since it uses less digits than its factorization.

12858320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 12858320 is about 3585.8499689753. The cubic root of 12858320 is about 234.2761490103.

The spelling of 12858320 in words is "twelve million, eight hundred fifty-eight thousand, three hundred twenty".