12870720 has 168 divisors, whose sum is σ = 45765720. Its totient is φ = 3317760.

The previous prime is 12870701. The next prime is 12870721. The reversal of 12870720 is 2707821.

It can be written as a sum of positive squares in 4 ways, for example, as 254016 + 12616704 = 504^2 + 3552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12870721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118026 + ... + 118134.

It is an arithmetic number, because the mean of its divisors is an integer number (272415).

Almost surely, 2^12870720 is an apocalyptic number.

12870720 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 12870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22882860).

12870720 is an abundant number, since it is smaller than the sum of its proper divisors (32895000).

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

12870720 is a wasteful number, since it uses less digits than its factorization.

12870720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 12870720 is about 3587.5785705682. The cubic root of 12870720 is about 234.3514333638.

The spelling of 12870720 in words is "twelve million, eight hundred seventy thousand, seven hundred twenty".