12790960 has 120 divisors (see below), whose sum is σ = 37403856. Its totient is φ = 4032000.

The previous prime is 12790957. The next prime is 12790961. The reversal of 12790960 is 6909721.

It is not an unprimeable number, because it can be changed into a prime (12790961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50835 + ... + 51085.

Almost surely, 2^12790960 is an apocalyptic number.

12790960 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 12790960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18701928).

12790960 is an abundant number, since it is smaller than the sum of its proper divisors (24612896).

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

12790960 is a wasteful number, since it uses less digits than its factorization.

12790960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 12790960 is about 3576.4451624483. The cubic root of 12790960 is about 233.8663370870.

The spelling of 12790960 in words is "twelve million, seven hundred ninety thousand, nine hundred sixty".