12784464 has 120 divisors (see below), whose sum is σ = 44645952. Its totient is φ = 3317760.

The previous prime is 12784451. The next prime is 12784489. The reversal of 12784464 is 46448721.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10512 + ... + 11664.

Almost surely, 2^12784464 is an apocalyptic number.

12784464 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 12784464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22322976).

12784464 is an abundant number, since it is smaller than the sum of its proper divisors (31861488).

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

12784464 is a wasteful number, since it uses less digits than its factorization.

12784464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1176 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 12784464 is about 3575.5368827632. The cubic root of 12784464 is about 233.8267400337.

The spelling of 12784464 in words is "twelve million, seven hundred eighty-four thousand, four hundred sixty-four".