12824720 has 20 divisors (see below), whose sum is σ = 29817660. Its totient is φ = 5129856.

The previous prime is 12824689. The next prime is 12824723. The reversal of 12824720 is 2742821.

It can be written as a sum of positive squares in 2 ways, for example, as 5513104 + 7311616 = 2348^2 + 2704^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12824720.

It is not an unprimeable number, because it can be changed into a prime (12824723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80075 + ... + 80234.

It is an arithmetic number, because the mean of its divisors is an integer number (1490883).

Almost surely, 2^12824720 is an apocalyptic number.

12824720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12824720 is an abundant number, since it is smaller than the sum of its proper divisors (16992940).

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

12824720 is a wasteful number, since it uses less digits than its factorization.

12824720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160322 (or 160316 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 12824720 is about 3581.1618226492. The cubic root of 12824720 is about 234.0719091341.

The spelling of 12824720 in words is "twelve million, eight hundred twenty-four thousand, seven hundred twenty".