12964800 has 168 divisors, whose sum is σ = 44283376. Its totient is φ = 3317760.

The previous prime is 12964781. The next prime is 12964811. The reversal of 12964800 is 846921.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 177564 + ... + 177636.

Almost surely, 2^12964800 is an apocalyptic number.

12964800 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 12964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22141688).

12964800 is an abundant number, since it is smaller than the sum of its proper divisors (31318576).

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

12964800 is a wasteful number, since it uses less digits than its factorization.

12964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 12964800 is about 3600.6666049497. Note that the first 4 decimals coincide. The cubic root of 12964800 is about 234.9210539103.

The spelling of 12964800 in words is "twelve million, nine hundred sixty-four thousand, eight hundred".