13061664 has 288 divisors, whose sum is σ = 50319360. Its totient is φ = 3110400.

The previous prime is 13061663. The next prime is 13061669. The reversal of 13061664 is 46616031.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13061663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421329 + ... + 421359.

It is an arithmetic number, because the mean of its divisors is an integer number (174720).

Almost surely, 2^13061664 is an apocalyptic number.

13061664 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 13061664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25159680).

13061664 is an abundant number, since it is smaller than the sum of its proper divisors (37257696).

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

13061664 is a wasteful number, since it uses less digits than its factorization.

13061664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13061664 is about 3614.0924171913. The cubic root of 13061664 is about 235.5046586499.

Adding to 13061664 its reverse (46616031), we get a palindrome (59677695).

The spelling of 13061664 in words is "thirteen million, sixty-one thousand, six hundred sixty-four".