12894464 has 72 divisors (see below), whose sum is σ = 29678880. Its totient is φ = 5529600.

The previous prime is 12894457. The next prime is 12894487. The reversal of 12894464 is 46449821.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53384 + ... + 53624.

Almost surely, 2^12894464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12894464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14839440).

12894464 is an abundant number, since it is smaller than the sum of its proper divisors (16784416).

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

12894464 is a wasteful number, since it uses less digits than its factorization.

12894464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 273 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 12894464 is about 3590.8862415844. The cubic root of 12894464 is about 234.4954559246.

The spelling of 12894464 in words is "twelve million, eight hundred ninety-four thousand, four hundred sixty-four".