12464640 has 120 divisors (see below), whose sum is σ = 43248348. Its totient is φ = 3317760.

The previous prime is 12464623. The next prime is 12464651. The reversal of 12464640 is 4646421.

12464640 is a `hidden beast` number, since 12 + 4 + 6 + 4 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12278016 + 186624 = 3504^2 + 432^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22770 + ... + 23310.

Almost surely, 2^12464640 is an apocalyptic number.

12464640 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 12464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21624174).

12464640 is an abundant number, since it is smaller than the sum of its proper divisors (30783708).

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

12464640 is an equidigital number, since it uses as much as digits as its factorization.

12464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 12464640 is about 3530.5297052992. The cubic root of 12464640 is about 231.8603995670.

It can be divided in two parts, 1246 and 4640, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 12464640 in words is "twelve million, four hundred sixty-four thousand, six hundred forty".