12985664 has 56 divisors (see below), whose sum is σ = 27736800. Its totient is φ = 6013440.

The previous prime is 12985663. The next prime is 12985667. The reversal of 12985664 is 46658921.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12985663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71654 + ... + 71834.

It is an arithmetic number, because the mean of its divisors is an integer number (495300).

Almost surely, 2^12985664 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 12985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13868400).

12985664 is an abundant number, since it is smaller than the sum of its proper divisors (14751136).

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

12985664 is a wasteful number, since it uses less digits than its factorization.

12985664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 261 counting only the distinct ones).

The product of its digits is 103680, while the sum is 41.

The square root of 12985664 is about 3603.5626815694. The cubic root of 12985664 is about 235.0470043293.

The spelling of 12985664 in words is "twelve million, nine hundred eighty-five thousand, six hundred sixty-four".