12833664 has 64 divisors (see below), whose sum is σ = 35904000. Its totient is φ = 4050432.

The previous prime is 12833663. The next prime is 12833699. The reversal of 12833664 is 46633821.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12833663) 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, 6417 + ... + 8175.

It is an arithmetic number, because the mean of its divisors is an integer number (561000).

Almost surely, 2^12833664 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 12833664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17952000).

12833664 is an abundant number, since it is smaller than the sum of its proper divisors (23070336).

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

12833664 is a wasteful number, since it uses less digits than its factorization.

12833664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1783 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 12833664 is about 3582.4103617537. The cubic root of 12833664 is about 234.1263106509.

The spelling of 12833664 in words is "twelve million, eight hundred thirty-three thousand, six hundred sixty-four".