12963840 has 104 divisors (see below), whose sum is σ = 41675808. Its totient is φ = 3440640.

The previous prime is 12963817. The next prime is 12963857. The reversal of 12963840 is 4836921.

It is a super-2 number, since 2×12963840² = 336122295091200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61335 + ... + 61545.

Almost surely, 2^12963840 is an apocalyptic number.

12963840 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 12963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20837904).

12963840 is an abundant number, since it is smaller than the sum of its proper divisors (28711968).

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

12963840 is an equidigital number, since it uses as much as digits as its factorization.

12963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 221 counting only the distinct ones).

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

The square root of 12963840 is about 3600.5332938330. The cubic root of 12963840 is about 234.9152553949.

The spelling of 12963840 in words is "twelve million, nine hundred sixty-three thousand, eight hundred forty".