13285664 has 72 divisors (see below), whose sum is σ = 31385340. Its totient is φ = 5515776.

The previous prime is 13285663. The next prime is 13285709. The reversal of 13285664 is 46658231.

It can be written as a sum of positive squares in 2 ways, for example, as 10368400 + 2917264 = 3220^2 + 1708^2 .

It is not an unprimeable number, because it can be changed into a prime (13285663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57902 + ... + 58130.

Almost surely, 2^13285664 is an apocalyptic number.

13285664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13285664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15692670).

13285664 is an abundant number, since it is smaller than the sum of its proper divisors (18099676).

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

13285664 is a wasteful number, since it uses less digits than its factorization.

13285664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 275 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 13285664 is about 3644.9504797734. The cubic root of 13285664 is about 236.8432916345.

The spelling of 13285664 in words is "thirteen million, two hundred eighty-five thousand, six hundred sixty-four".