12905280 has 84 divisors (see below), whose sum is σ = 44398692. Its totient is φ = 3440640.

The previous prime is 12905257. The next prime is 12905287. The reversal of 12905280 is 8250921.

It can be written as a sum of positive squares in 2 ways, for example, as 7485696 + 5419584 = 2736^2 + 2328^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12905287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 640 + ... + 5120.

Almost surely, 2^12905280 is an apocalyptic number.

12905280 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 12905280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22199346).

12905280 is an abundant number, since it is smaller than the sum of its proper divisors (31493412).

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

12905280 is a wasteful number, since it uses less digits than its factorization.

12905280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4504 (or 4491 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 12905280 is about 3592.3919607972. The cubic root of 12905280 is about 234.5610032795.

The spelling of 12905280 in words is "twelve million, nine hundred five thousand, two hundred eighty".