12884140 has 48 divisors (see below), whose sum is σ = 29034432. Its totient is φ = 4790016.

The previous prime is 12884129. The next prime is 12884159. The reversal of 12884140 is 4148821.

It is a junction number, because it is equal to n+sod(n) for n = 12884099 and 12884108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16642 + ... + 17398.

It is an arithmetic number, because the mean of its divisors is an integer number (604884).

Almost surely, 2^12884140 is an apocalyptic number.

12884140 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 12884140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14517216).

12884140 is an abundant number, since it is smaller than the sum of its proper divisors (16150292).

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

12884140 is a wasteful number, since it uses less digits than its factorization.

12884140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 12884140 is about 3589.4484255941. The cubic root of 12884140 is about 234.4328559984.

It can be divided in two parts, 128841 and 40, that added together give a square (128881 = 359²).

The spelling of 12884140 in words is "twelve million, eight hundred eighty-four thousand, one hundred forty".