12878580 has 192 divisors, whose sum is σ = 45158400. Its totient is φ = 2695680.

The previous prime is 12878563. The next prime is 12878603. The reversal of 12878580 is 8587821.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162981 + ... + 163059.

It is an arithmetic number, because the mean of its divisors is an integer number (235200).

Almost surely, 2^12878580 is an apocalyptic number.

12878580 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 12878580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22579200).

12878580 is an abundant number, since it is smaller than the sum of its proper divisors (32279820).

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

12878580 is a wasteful number, since it uses less digits than its factorization.

12878580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The square root of 12878580 is about 3588.6738497668. The cubic root of 12878580 is about 234.3991288936.

The spelling of 12878580 in words is "twelve million, eight hundred seventy-eight thousand, five hundred eighty".