12964224 has 192 divisors, whose sum is σ = 43953840. Its totient is φ = 3354624.

The previous prime is 12964223. The next prime is 12964229. The reversal of 12964224 is 42246921.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×12964224² = 336142207844352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12964191 and 12964200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12964223) 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, 244582 + ... + 244634.

Almost surely, 2^12964224 is an apocalyptic number.

12964224 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 12964224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21976920).

12964224 is an abundant number, since it is smaller than the sum of its proper divisors (30989616).

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

12964224 is a wasteful number, since it uses less digits than its factorization.

12964224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 78 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 12964224 is about 3600.5866188720. The cubic root of 12964224 is about 234.9175748354.

The spelling of 12964224 in words is "twelve million, nine hundred sixty-four thousand, two hundred twenty-four".