12876820 has 72 divisors (see below), whose sum is σ = 31572072. Its totient is φ = 4392960.

The previous prime is 12876791. The next prime is 12876833. The reversal of 12876820 is 2867821.

It can be written as a sum of positive squares in 4 ways, for example, as 174724 + 12702096 = 418^2 + 3564^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40984 + ... + 41296.

It is an arithmetic number, because the mean of its divisors is an integer number (438501).

Almost surely, 2^12876820 is an apocalyptic number.

12876820 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 12876820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15786036).

12876820 is an abundant number, since it is smaller than the sum of its proper divisors (18695252).

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

12876820 is a wasteful number, since it uses less digits than its factorization.

12876820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 12876820 is about 3588.4286254571. The cubic root of 12876820 is about 234.3884506651.

The spelling of 12876820 in words is "twelve million, eight hundred seventy-six thousand, eight hundred twenty".