12863664 has 80 divisors (see below), whose sum is σ = 40295040. Its totient is φ = 3896640.

The previous prime is 12863657. The next prime is 12863671. The reversal of 12863664 is 46636821.

12863664 is a `hidden beast` number, since 12 + 8 + 636 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12863657) and next prime (12863671).

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3399 + ... + 6105.

It is an arithmetic number, because the mean of its divisors is an integer number (503688).

Almost surely, 2^12863664 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 12863664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20147520).

12863664 is an abundant number, since it is smaller than the sum of its proper divisors (27431376).

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

12863664 is a wasteful number, since it uses less digits than its factorization.

12863664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2723 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 12863664 is about 3586.5950426554. The cubic root of 12863664 is about 234.3086000703.

It can be divided in two parts, 1286 and 3664, that added together give a triangular number (4950 = T₉₉).

The spelling of 12863664 in words is "twelve million, eight hundred sixty-three thousand, six hundred sixty-four".