12864000 has 160 divisors (see below), whose sum is σ = 43407936. Its totient is φ = 3379200.

The previous prime is 12863999. The next prime is 12864013. The reversal of 12864000 is 46821.

Added to its reverse (46821) it gives a triangular number (12910821 = T₅₀₈₁).

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191967 + ... + 192033.

Almost surely, 2^12864000 is an apocalyptic number.

12864000 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 12864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21703968).

12864000 is an abundant number, since it is smaller than the sum of its proper divisors (30543936).

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

12864000 is an frugal number, since it uses more digits than its factorization.

12864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12864000 is about 3586.6418834336. The cubic root of 12864000 is about 234.3106401060.

Adding to 12864000 its reverse (46821), we get a triangular number (12910821 = T₅₀₈₁).

The spelling of 12864000 in words is "twelve million, eight hundred sixty-four thousand".