12885040 has 120 divisors (see below), whose sum is σ = 36894960. Its totient is φ = 4161024.

The previous prime is 12885023. The next prime is 12885049. The reversal of 12885040 is 4058821.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (12885049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74394 + ... + 74566.

It is an arithmetic number, because the mean of its divisors is an integer number (307458).

Almost surely, 2^12885040 is an apocalyptic number.

12885040 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 12885040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18447480).

12885040 is an abundant number, since it is smaller than the sum of its proper divisors (24009920).

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

12885040 is a wasteful number, since it uses less digits than its factorization.

12885040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 12885040 is about 3589.5737908560. The cubic root of 12885040 is about 234.4383145094.

It can be divided in two parts, 1288 and 5040, that added together give a triangular number (6328 = T₁₁₂).

The spelling of 12885040 in words is "twelve million, eight hundred eighty-five thousand, forty".