12888540 has 144 divisors (see below), whose sum is σ = 45759168. Its totient is φ = 2875392.

The previous prime is 12888539. The next prime is 12888563. The reversal of 12888540 is 4588821.

12888540 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12888540² = 332228926663200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12888495 and 12888504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66684 + ... + 66876.

It is an arithmetic number, because the mean of its divisors is an integer number (317772).

Almost surely, 2^12888540 is an apocalyptic number.

12888540 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 12888540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22879584).

12888540 is an abundant number, since it is smaller than the sum of its proper divisors (32870628).

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

12888540 is a wasteful number, since it uses less digits than its factorization.

12888540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 12888540 is about 3590.0612808140. The cubic root of 12888540 is about 234.4595396360.

The spelling of 12888540 in words is "twelve million, eight hundred eighty-eight thousand, five hundred forty".