12461664 has 48 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 4129920.

The previous prime is 12461651. The next prime is 12461689. The reversal of 12461664 is 46616421.

It is a tau number, because it is divible by the number of its divisors (48).

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

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 7 ways as a sum of consecutive naturals, for example, 25777 + ... + 26255.

It is an arithmetic number, because the mean of its divisors is an integer number (685440).

Almost surely, 2^12461664 is an apocalyptic number.

It is an amenable number.

12461664 is an abundant number, since it is smaller than the sum of its proper divisors (20439456).

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

12461664 is a wasteful number, since it uses less digits than its factorization.

12461664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 755 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 12461664 is about 3530.1082136388. The cubic root of 12461664 is about 231.8419454581.

The spelling of 12461664 in words is "twelve million, four hundred sixty-one thousand, six hundred sixty-four".