12689280 has 96 divisors (see below), whose sum is σ = 43837560. Its totient is φ = 3382272.

The previous prime is 12689279. The next prime is 12689297. The reversal of 12689280 is 8298621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12689280² = 322035653836800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4659 + ... + 6861.

Almost surely, 2^12689280 is an apocalyptic number.

12689280 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 12689280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21918780).

12689280 is an abundant number, since it is smaller than the sum of its proper divisors (31148280).

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

12689280 is a wasteful number, since it uses less digits than its factorization.

12689280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 12689280 is about 3562.2015664474. The cubic root of 12689280 is about 233.2449915006.

The spelling of 12689280 in words is "twelve million, six hundred eighty-nine thousand, two hundred eighty".