12890880 has 144 divisors (see below), whose sum is σ = 45867360. Its totient is φ = 3428352.

The previous prime is 12890869. The next prime is 12890887. The reversal of 12890880 is 8809821.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (12890887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34374 + ... + 34746.

Almost surely, 2^12890880 is an apocalyptic number.

12890880 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 12890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22933680).

12890880 is an abundant number, since it is smaller than the sum of its proper divisors (32976480).

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

12890880 is an equidigital number, since it uses as much as digits as its factorization.

12890880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 12890880 is about 3590.3871657525. The cubic root of 12890880 is about 234.4737280060.

The spelling of 12890880 in words is "twelve million, eight hundred ninety thousand, eight hundred eighty".