12938640 has 240 divisors, whose sum is σ = 49014720. Its totient is φ = 2795520.

The previous prime is 12938623. The next prime is 12938663. The reversal of 12938640 is 4683921.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446146 + ... + 446174.

It is an arithmetic number, because the mean of its divisors is an integer number (204228).

Almost surely, 2^12938640 is an apocalyptic number.

12938640 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 12938640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24507360).

12938640 is an abundant number, since it is smaller than the sum of its proper divisors (36076080).

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

12938640 is a wasteful number, since it uses less digits than its factorization.

12938640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 12938640 is about 3597.0321099484. The cubic root of 12938640 is about 234.7629418726.

The spelling of 12938640 in words is "twelve million, nine hundred thirty-eight thousand, six hundred forty".