12890760 has 128 divisors (see below), whose sum is σ = 41990400. Its totient is φ = 3153920.

The previous prime is 12890753. The next prime is 12890767. The reversal of 12890760 is 6709821.

It is an interprime number because it is at equal distance from previous prime (12890753) and next prime (12890767).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12890767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144796 + ... + 144884.

It is an arithmetic number, because the mean of its divisors is an integer number (328050).

Almost surely, 2^12890760 is an apocalyptic number.

12890760 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 12890760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20995200).

12890760 is an abundant number, since it is smaller than the sum of its proper divisors (29099640).

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

12890760 is a wasteful number, since it uses less digits than its factorization.

12890760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 12890760 is about 3590.3704544239. The cubic root of 12890760 is about 234.4730004391.

The spelling of 12890760 in words is "twelve million, eight hundred ninety thousand, seven hundred sixty".