12938464 has 96 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 4899840.

The previous prime is 12938461. The next prime is 12938467. The reversal of 12938464 is 46483921.

It is an interprime number because it is at equal distance from previous prime (12938461) and next prime (12938467).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12938461) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 145332 + ... + 145420.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 2^12938464 is an apocalyptic number.

12938464 is a gapful number since it is divisible by the number (14) 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 12938464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

12938464 is an abundant number, since it is smaller than the sum of its proper divisors (19720736).

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

12938464 is a wasteful number, since it uses less digits than its factorization.

12938464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 12938464 is about 3597.0076452518. The cubic root of 12938464 is about 234.7618774005.

The spelling of 12938464 in words is "twelve million, nine hundred thirty-eight thousand, four hundred sixty-four".