12904960 has 60 divisors (see below), whose sum is σ = 31383594. Its totient is φ = 5089280.

The previous prime is 12904919. The next prime is 12904961. The reversal of 12904960 is 6940921.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 11614464 + 1290496 = 3408^2 + 1136^2 .

It is not an unprimeable number, because it can be changed into a prime (12904961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 181725 + ... + 181795.

Almost surely, 2^12904960 is an apocalyptic number.

12904960 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 12904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15691797).

12904960 is an abundant number, since it is smaller than the sum of its proper divisors (18478634).

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

12904960 is an frugal number, since it uses more digits than its factorization.

12904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 12904960 is about 3592.3474219513. The cubic root of 12904960 is about 234.5590645345.

The spelling of 12904960 in words is "twelve million, nine hundred four thousand, nine hundred sixty".