12862720 has 72 divisors (see below), whose sum is σ = 33223176. Its totient is φ = 4743168.

The previous prime is 12862699. The next prime is 12862739. The reversal of 12862720 is 2726821.

It can be written as a sum of positive squares in 4 ways, for example, as 246016 + 12616704 = 496^2 + 3552^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16254 + ... + 17026.

It is an arithmetic number, because the mean of its divisors is an integer number (461433).

Almost surely, 2^12862720 is an apocalyptic number.

12862720 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 12862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16611588).

12862720 is an abundant number, since it is smaller than the sum of its proper divisors (20360456).

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

12862720 is an equidigital number, since it uses as much as digits as its factorization.

12862720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 12862720 is about 3586.4634390999. The cubic root of 12862720 is about 234.3028683511.

The spelling of 12862720 in words is "twelve million, eight hundred sixty-two thousand, seven hundred twenty".