12945280 has 64 divisors (see below), whose sum is σ = 31395600. Its totient is φ = 5103616.

The previous prime is 12945263. The next prime is 12945293. The reversal of 12945280 is 8254921.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72231 + ... + 72409.

Almost surely, 2^12945280 is an apocalyptic number.

12945280 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 12945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15697800).

12945280 is an abundant number, since it is smaller than the sum of its proper divisors (18450320).

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

12945280 is a wasteful number, since it uses less digits than its factorization.

12945280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 12945280 is about 3597.9549747044. The cubic root of 12945280 is about 234.8030944531.

It can be divided in two parts, 12945 and 280, that added together give a square (13225 = 115²).

The spelling of 12945280 in words is "twelve million, nine hundred forty-five thousand, two hundred eighty".