13435664 has 40 divisors (see below), whose sum is σ = 28727328. Its totient is φ = 6036480.

The previous prime is 13435663. The next prime is 13435673. The reversal of 13435664 is 46653431.

It is a self number, because there is not a number n which added to its sum of digits gives 13435664.

It is not an unprimeable number, because it can be changed into a prime (13435663) 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, 16679 + ... + 17465.

Almost surely, 2^13435664 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 13435664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14363664).

13435664 is an abundant number, since it is smaller than the sum of its proper divisors (15291664).

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

13435664 is a wasteful number, since it uses less digits than its factorization.

13435664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 897 counting only the distinct ones).

The product of its digits is 25920, while the sum is 32.

The square root of 13435664 is about 3665.4691377776. The cubic root of 13435664 is about 237.7313070612.

It can be divided in two parts, 1343 and 5664, that added together give a palindrome (7007).

The spelling of 13435664 in words is "thirteen million, four hundred thirty-five thousand, six hundred sixty-four".